005236   McBean C H;Bourne P A (NO, Univ of the West Indies, Mona, Jamaica, Email: paulbourne1@gmail.com) : Use of technology in the teaching of mathematics in Jamaica. J advd Res appl math Statistic 2016, 1(3-4), 55-87.

Mathematics, therefore, as a subject plays and continues to play a crucial role in the advancement of technology, science, engineering and in several other areas of study. In the global environment which has become highly technological driven, people are called upon to utilize mathematical tools and/or techniques and these require educators to impart the required skills to pupils. In Jamaica, the reality is 58 out of every 100 candidates that sat CSEC mathematics in 2003 failed it, which has been ongoing for decades and accounted for the shortage of mathematics teachers in the secondary educational system as well as to universities and colleges in the discipline. This study evaluates the use of information technology (IT) is changing mathematics performances of students in a selected high school in Jamaica. The sample was from a non-traditional high school in an urban area where the researcher has been a teacher for many years. The research was conducted at this particular school because of convenience to the researcher. In this study, the researcher used "convenience" sampling procedure defined by McMillan (2000), where a group of participants is selected because of availability. There were a total of 53 students in the study, 27 students in the experimental group and 26 in the control group. Participants were randomly assigned to each group. The two grade 10 classes were selected to carry out the study because these students were the ones that did the subject Information Technology. The study was conducted over a four week period during the 2014. On average, the overall attitude towards mathematics among the sampled respondents of those in the control group on the pre-test was 49.1±8.8, 95% Cl: 45.5 - 52.6 compared to 48.1±7.6, 95%CI: 45.1 - 51.1, with the paired sample t-test indicated that this is not statistical different -tzs = 0.389, P = 0.701. A positive statistical correlation emerged between attitude and mathematics grades among those in the experimental group. Simply put an improvement in attitude of students towards mathematics as a result of the integrative teaching method in IT classes result in better mathematics grades of these students - rxy= 0.112, P = 0.005. Teachers of information technology and other subjects can configure assignments that require the students to employ mathematical concepts as well as implore pupils to apply mathematics in problem solving issues in their subject areas.

10 tables, 134 ref

005235   Kim G H (Mathematics Dep, Kangnam Univ Yongin, Gyeonggi, 446-702, Korea, Email: ghkim@kangnam.ac.kr) : Superstability of the difference-form functional equations related to measures. Far East J mathl Sci 2015, 98(2), 205-20.

This work extends the study on the stability of the functional equation f(pr, qs) - f(ps, qr) = f(p, q)f(r, s), which arises in the characterization of the nonsymmetrically compositive difference-form related to information measures, distance measures, products of some multiplicative functions.

17 ref

005234   Jamaludin N A A;Monsi M;Hassan N;Masseran N (Mathematics Dep, Faculty of Science, Univ Putra Malaysia 43400 Serdang, Selangor, Malaysia, Email: nas@ukm.edu.my) : On convergence of INAAH2 procedure for bounding polynomial zeros simultaneously. Far East J mathl Sci 2015, 98(2), 259-66.

The Newton single-step procedure INAAH2 was shown to be numerically convergent. In this paper, a proof using convergence analysis indicates that INAAH2 converges at the rate of at least four.

17 ref

005233   Inna S;Mahmudi (Study Program of Mathematics, Faculty of Science and Technology, State Islamic Univ of Syarif Hidayatullah Jakarta, Indonesia, Email: suma.inna@uinjkt.ac.id) : Earthquake periodicity analysis in Indonesia using wavelet. Far East J mathl Sci 2015, 98(2), 221-34.

This study analyzed the earthquake periodicity using wavelet methods. The magnitude data in the year of 2000-2010 with coordinates 07°S-13°S and 96°E-110°E was used to analyze the periodicity. It was separated based on the level of depth into three criteria, namely, shallow, middle and deep earthquakes. As a result, it was obtained that the earthquake periodicity was approximately every 21 months for shallow, and approximately every 33 months for middle and there was no periodicity for deep earthquake.

5 illus, 3 tables, 12 ref

005232   I-Hui H;Hsin-Ling W;Jiann-Fu L;Yi-Ting C (Management Information System Dep, Takming Univ of Science and Technology, No. 56, Sec. 1, Huanshan Rd. NeiHu, 11451, Taipei, Taiwan, Email: alfu@takming.edu.tw) : Superiority comparison among five LPT-rule based algorithms for scheduling multiprocessor tasks. Far East J mathl Sci 2015, 98(2), 151-62.

The problem of scheduling independent multiprocessor tasks in a distributed computing environment to find a schedule with minimum makespan is NP-complete. A heuristic algorithm will be a quick way to approach a near optimal schedule. Since recently some LPT-rule based scheduling algorithms were proposed for the problem, and the worst performance ratios were derived to be the same, this paper manages to obtain the average performance ratios of five LPT-rule based scheduling algorithms through experiments and use the experimental result to differentiate their superiority. By comparing the five scheduling algorithms, the properties affecting scheduling performance are also explored.

3 illus, 14 ref

005231   Gupta V;Kumar J;Panwar M S;KTomer S (Statistics Dep, Banaras Hindu Univ, Varanasi-221 005, Email: sktomer73@gmail.com) : Reliability estimation for Lindley distribution under type I progressive hybrid censoring scheme. J advd Res appl math Statistic 2016, 1(3-4), 41-54.

In this article we consider Lindley's distribution as a lifetime model and provide procedures to evaluate reliability measures in the presence of Type-l progressively hybrid censored data. We obtain maximum likelihood and Bayes estimators of parameter, reliability function, hazard rate function and mean time to system failure. We also provide confidence intervals and Bayesian credible intervals for parameter of considered distribution. Finally, we perform simulation study for numerical illustrations.

7 tables, 39 ref

005230   Chaudhary M K;Amit Kumar (Statistics Dep, Banaras Hindu Univ, Varanasi) : Combined-type estimators of finite population mean using double sampling scheme under non-response. J advd Res appl math Statistic 2016, 1(3-4), 14-27.

In the present article, we have proposed some combined-type estimators of population mean in stratified random sampling in the presence of non-response. In order to propose the estimators, we have utilized the information on an auxiliary variable assuming that the non-response is observed on both study and auxiliary variables. It is further assumed that the population mean of auxiliary variable is not known and hence the double sampling scheme has been utilized. The properties of the proposed estimators have been discussed. A theoretical study on cost of the survey has been worked out. The theoretical results have also been supported by the empirical study.

4 tables, 15 ref

005229   Burgin M (Univ of California, Los Angeles, 405 Hilgard Avenue, Los Angeles, CA 90095, Email: mburgin@math.ucla.edu) : Probability theory in relational structures. J advd Res appl math Statistic 2016, 1(3-4), 28-40.

Subjective probability is mathematically modeled and studied in the form of qualitative probability. Here we developed a more coherent approach to qualitative probability based on relational systems, which allows modeling uncertainty by probability structures. This setting makes it possible proving that any comparative probability is induced by some probability structure (Theorem 2.1), that classical probability is a probability structure (Theorem 2.2) and that inflated, i.e., larger than 1, probability is also a probability structure (Theorem 2.3). In addition, we study representation of probability structures by classical probability,

33 ref

005228   Agarwal P K;Garg S;Jain V (Civil Engineering Dep, Maulana Azad National Institute of Technology, Bhopal, Madhya Pradesh, Email: pka9@yahoo.com) : Statistical approach for identification of hazardous locations in a road network. J advd Res appl math Statistic 2016, 1(3-4), 1-8.

The safety on road has degraded to a great extent as road accidents are increasing causing huge socio economic losses. A proactive measure for reducing the rate of accidents is to identify hazardous locations for treatment. Accident hazardous locations are generally identified based on the numbers of accidents occurred at those locations. Many theories of occurrence of accident at a location have been evolved since more than a century. However, a critical review of literature indicated that most of these theories fail to explain as the concept of cause of accident has been applied in a deterministic sense. The cause always produces the effect, and the same cause always has the same effect. Therefore, the main objective of this study is to propose a statistical approach to identify the accident hazardous locations in a road network. This study proposes to identify hazardous locations on the basis of two statistical measures. First measure, termed as Degree of Risk is proposed to assess risk hazards due to different types of accident injuries. Another measure, termed as Accident Hazardous Index is proposed to identify the hazardous location by assessing the total risk hazards that a location experiences due to different type of accidents injury. The proposed approach his capable of identifying all types of hazardous location by considering all types of locations (intersections and mid-block section, rural and urban locations, etc.) together on one list thus the type of location does not matter. Thus, the approach is not location specific. The approach can be used to identify hazardous location when accident data is available for a period shorter or greater than one year. Thus, it is expected that this study will be useful to improve safety condition in the road network.

2 tables, 19 ref

005227   Adichwal N K;Singh R;Mishra P;Singh P;Yan Z (Statistics Dep, Banaras Hindu Univ, Varanasi) : Two parameter ratio-product-ratio type estimator for population coefficient of variation based on simple random sampling without replacement. J advd Res appl math Statistic 2016, 1(3-4), 9-13.

In this article, we have proposed a two parameter ratio-product-ratio estimator for population coefficient of variation based on simple random sampling without replacement (SRSWOR), The expressions of bias and mean square error of the proposed estimator are obtained to the first degree of approximation. We have derived the conditions for the parameters under which the proposed estimator has smaller mean square errorthan the mean square error of CY. An empirical study is carried out showing that the proposed estimator outperforms the traditional estimators using two real population data sets.

1 table, 13 ref

004220   Shiv Kumar;Singh A K (Applied Mathematics Dep, Indian School of Mines, Dhanbad-826 004, Email: manshahiva@gmail.com ) : Optimal time policy for deteriorating items of two-warehouse inventory system with time and stock dependent demand and partial backlogging. Sadhana 2016, 41(5), 541-8.

Author consider the problem of a two-warehouse inventory system under the effect of stock dependent demand. There are two warehouses to store the goods in which the first is rented warehouse and the second is own warehouse that deteriorates with two different rates. The aim of this study is to determine the optimal order quantity to maximize the profit of the projected model. Finally, some numerical examples and sensitivity analysis of parameters are made to validate the results of the proposed model.

4 illus, 3 tables, 18 ref

004219   Deepika Rani;Gulati T R (Mathematics Dep, Indian Institute of Technology Roorkee, Roorkee-247 667, Email: deepikaiitroorkee@gmail.com) : Uncertain multi-objective multi-product solid transportation problems. Sadhana 2016, 41(5), 531-9.

The solid transportation problem is an important generalization of the classical transportation problem as it also considers the conveyance constraints along with the source and destination constraints. The problem can be made more effective by incorporating some other factors, which make it useful in real life situations. In this paper, we consider a fully fuzzy multi-objective multi-item solid transportation problem and present a method to find its fuzzy optimal-compromise solution using the fuzzy programming technique. To take into account the imprecision in finding the exact values of parameters, all the parameters are taken as trapezoidal fuzzy numbers. A numerical example is solved to illustrate the methodology.

2 illus, 6 tables, 25 ref

003142   Ray K (Biological Sciences Dep, TIFR, Mumbai-400 005, Email: krishanu@tifr.res.in) : InDRC 2015 - The tradition of Drosophila research in India has attained a critical mass. Proc Indian Natn Sci Acad 2016, 82(1), 27-9.

1 illus, 5 ref

002150   Yadav D S;Thakur S S;Thakur S S (Applied Mathematics Dep, Takshshila Institute of Engineering & Technology, Jabalpur, Email: dinyadav1976@gmail.com) : Related fixed point theorem on two fuzzy metric spaces. J Indian Acad Math 2015, 37(2), 371-80.

In this paper we establish some related fixed point theorems in two fuzzy metric spaces.

8 ref

002149   Udayakumar S;Gurumoorthy A (Mathematics Dep, AVVM Sri Pushpam College (Autonomous), Poondi, Thanjavur) : New marged fuzzy cognitive relational maps (MFCRMs) mode definition and description. Ultra Scient phys Sci-Sect B 2015, 27(2), 125-9.

In this paper for the first time a new Merged Fuzzy Cognitive Relational Maps (MFCRMs) model is defined using the technique of merging a FCMs model and a FRMs model is described.

6 illus, 4 ref

002148   Udayakumar S;Gurumoorthy A (Mathematics Dep, AVVM Sri Pushpam College, Poondi, Thanjavur) : Analysis of the problems faced by CWPDs using fuzzy cognitive relational maps (FCRMs) bimodel. Ultra Scient phys Sci-Sect A 2015, 27(2), 119-26.

In this paper the study of the problems faced by children with physical disabilities (CWPDs) is carried out using the Fuzzy Cognitive Relational Maps (FCRMs) bimodel.

2 illus, 2 tables, 5 ref

002147   Srivastava M (Mathematics Dep, V.S.S.D. College, Kanpur, Uttar Pradesh, Email: manjarivssd@gmail.com) : Some results on PC -compactness in fuzzy bitopological spaces. Ultra Scient phys Sci-Sect A 2015, 27(2), 169-71.

In this paper we have introduced the concept of PC -Compactness in Fuzzy Bitopological Spaces, as a generalization of P compactness in Bitopological Spaces.

8 ref

002146   Singh S P (Mathematics Dep, T.D.P.G. College, Jaunpur-222 002, Email: snsp39@yahoo.com) : Certain identities involving Lambert series. J Indian Acad Math 2015, 37(2), 225-32.

In this paper, an attemptxhas been made to establish certain identities involving Lambert series.

4 ref

002145   Singh G K (Mathematics Dep, O.P. Jindal Institute of Technology, Raigarh-496 001) : On the approximation by (N, p_m, q_n) means of double fourier series. Ultra Scient phys Sci-Sect B 2015, 27(2), 117-24.

Generalising an earlier result of Hasegawa^{1, degree of approximation of a function belonging to Lip (a, P) class by double Norlund summability of its double Fourier series has been determined.}

12 ref

002144   Shashidhar S;Somashekhara G (Mathematics Dep, Bangalore Univ, Central COllege Campus, Bangaluru-560 001, Email: savithrishashi@yahoo.co.in) : Generalized sasakian space form admitting semi-symmetric connection. Ultra Scient phys Sci-Sect A 2015, 27(2), 107-12.

6 ref

002143   Sharma S C;Vijay V (Mathematics Dep, Rajasthan Univ, Jaipur-302 055, Email: sureshchand26@gmail.com) : Costing for an EOQ model for deteriorating items with stock dependent demand rate. J Indian Acad Math 2015, 37(2), 189-99.

In the present paper we consider an EOQ inventory model for deteriorating items with stock dependent demand rate. In the proposed model, demand is taken as function of inventory level up to time t₁ and after this constant. Shortages are not allowed. Numerical example is also given here.

4 tables, 12 ref

002142   Sharma R K;Raich V;Chauhan C S (Govt. Holkar Science College, (Devi Ahilya Univ), Indore, Madhya Pradesh, Email: raj_rma@yahoo.co.in) : Generalized contraction and common fixed point in partially ordered metric spaces. J Indian Acad Math 2015, 37(2), 241-52.

The aim of this paper is to present some common fixed point theorems for two commuting monotone mappings in complete metric space endowed with a partial order satisfying a generalized weak contractive condition. Our results are generalization of the results of Agrawal et at. [2]. Some examples are also furnished to demonstrate the validity of the hypothesis and the degree of generality of our results.

4 ref

002141   Sharma R K;Jain A;Jain R (Mathemarics Dep, Govt. Holkar Science College, Indore-452 01, Email: raj_rma@yahoo.co.in) : Some common fixed point theorems of mappigs satisfying an impliit relation. J Indian Acad Math 2015, 37(2), 325-38.

Using the notion of compatibility, weak compatibility and reciprocal continuity of mappings, we proved some common fixed point theorem for eight such mappings satisfying an implicit relation. Our result generalizes and improves the earlier results given by Popa [13] and many others. Some related examples are also furnished.

13 ref

002140   Sarma H (Mathematics Dep, Rangia College, Rangia-781 354, Email: hemensharma.nlb@gmail.com) : Steady MHD flor of a visco-elastic fluid through horizontal channel bounded by horizontal plants in porous medium in presence of tyransverse magnetic field. Ultra Scient phys Sci-Sect A 2015, 27(2), 113-18.

The steady laminar flow of an electrically conducting visco-elastic fluid through horizontal channel, bounded by two horizontal plates, lower being a stretching sheet and the upper being permeable plate bounded by porous medium in presence of transverse magnetic field, has been discussed analytically. The expressions for skin-friction coefficient at both the surfaces have been derived and discussed numerically, their values being presented through table.

2 illus, 9 ref

002139   Rout D;Som T (Centre for Interdisciplinary Mathematical Sciences, (DST) Banaras Hindu Univ, Varanasi-221 005, Email: deepak.gymmaster@gmail.com) : A coupled fixed point result on generalised cone metric space. J Indian Acad Math 2015, 37(2), 253-62.

In this paper we have generalised G-metric to G-cone metric space with the help of real Banach space on G-cone metric space. We have developed a couple fixed point result under a contractive condition and given the uniqueness of the couple fixed point.

18 ref

002138   Rameshkumar A;Palanikumar R (Mathemarics Dep, Srimad Andavan Arts & Science College, Trichy-05, Email: andavanmathsramesh@gmail.com) : Wiener lower sum and upper sum of friendship graph F<. J Indian Acad Math 2015, 37(2), 305-11.

Author study on Wiener index of a graph is defined as the sum of distances between all pairs of vertices in a connected graph. Wiener index correlates well with many Physio Chemical properties of organic compounds and as such has been well studied over the last quarter of a century. In this paper author prove some general results on Wiener Lower and Upper Sum for the Friendship graphs.

2 illus, 9 ref

002137   RameshKumar A;Deepa S (Mathematics Dep, Srimad Andavan, Arts & Science College (Autonmous), T.V. Kovil, Trichy-5, Email: andavanmathsramesh@gmail.com) : Solving assignment problems using best job method. J Indian Acad Math 2015, 37(2), 353-70.

In this study we use the Best Job Method (BJM) in which the key idea is to minimize or maximize the combinations of the solution by choosing the best job to reach the optimal solution. The main object of assignment problem is to min or maxi the cost. And also applying the BJM in the proposed method obtains the best solution o a assignment problem and performs faster than the existing with a minimal computation time and less complexity.

29 tables, 7 ref

002136   Rajput A;Deeprtana;Agrawal D P;Jatav H S; Bhargava P K (Mathematics Dep, Govt. P.G. College, Sehore, Madhya Pradesh) : Fixed point theorems of t-kannan contractive on t-stability of picard iteration in cone metric spaces. Ultra Scient phys Sci-Sect A 2015, 27(2), 159-63.

The purpose of this paper is to obtain sufficient conditions for the existence of a unique fixed point of T-Kannan type mapping on complete cone metric spaces with the T - stability of Picard's iteration procedures.

4 ref

002135   Rajeswari V;Gajivaradhan P (Mathrmatics Dep, Pachaiyappa's College, Chennai-600 030) : Groupoid matrix semirings and their properties. Ultra Scient phys Sci-Sect B 2015, 27(2), 85-94.

In this paper for the first time groupoid matrix semirings are introduced and their properties are analysed. A matrix groupoid or a groupoid matrix is a collection of p x q matrices with entries from a groupoid (G, *) where groupoid matrix inherits the operation of G. Here chain lattices are used as semirings and groupoid matrix semirings are non associative semirings of finite order, as both the groupoids G and the chain lattices are of finite order.

4 ref

002134   Rajeswari V;Gajivaradhan P (Mathematics Dep, Pachaiyappa's College, Chennai-600 030) : Groupoid semirings which satisfy special identities. Ultra Scient phys Sci-Sect A 2015, 27(2), 127-34.

In this paper it is to study groupoid semirings which satisfy special identities. Such study is new and innovative.

3 ref

002133   Ponraj R;Adaickalam M M (Mathematics Dep, Sri Paramakalyani College, Alwarkurichi-627 412) : Quotient cordial labeling of some star related graphs. J Indian Acad Math 2015, 37(2), 313-24.

Let G be a (p,q) graph. Let f: V (G) → {1,2,...,p} be a injective map. For each edge uv assign the label [f(u)/f(v)] (or) [f(v)/f(u)] according as f(u) ≥ f(v) orf(v) <62> f(u). Then f is called a quotient cordial labeling of G if |e_f(0) - e_f(l)| ≤ 1 where e_f(0) and e_f(l) respectively denotes the number of edges labelled with even integers and number of edges labelled with odd integers. A graph with a quotient cordial labeling is called a quotient cordial graph. In this paper we investigate the quotient cordial labeling behavior of subdivided star S(Ki_1,n), subdivided bistar S(B_n,n) and union of some star related graphs.

10 tables, 5 ref

002132   Ojha N C;Panda J P (Mathematics Dep, College of Engineering and Technology, P.O.-Khandagiri, Bhubaneswar-751 030, Email: ncojha@gmail.com) : Free convection MHD flow between two vertical walls filled with a porous matrix. Ultra Scient phys Sci-Sect A 2015, 27(2), 155-8.

The proposed study analyzes the free convection flow between two vertical walls filled with a porous matrix in presence of a transverse magnetic field considering the effect of both viscous and Darcy dissipation. The effect of pertinent parameters on the flow field is analyzed with help of graphs.

1 illus, 6 ref

002131   Murthy M N (Physics Dep, National Institute of Science and Technology, Palur Hills, Berhampur-761 008, Email: mnarayanamurthy@rediffmail.com) : Algorithm for realization of type-I discrete sine transform. Ultra Scient phys Sci-Sect A 2015, 27(2), 164-8.

In this paper, an algorithm for realization of type -I discrete sine transform (DST-I) of length N - 1, where N = 2^{m(m = 2,3,4, ....), is presented. The DST-1 is realized by decomposing it into DST-I of length N/2-1 and type-II discrete sine transform (DST-I1) of length N/2.}

2 illus, 10 ref

002130   Lonker D (Mathematics Dep, Faculty of Science, J.N.V. Univ, Jodhpur-342 005, Email: deshnap@yahoo.com) : Fractional natural transform and the Mittag-Leffler function. J Indian Acad Math 2015, 37(2), 201-12.

The Natural transform of fractional order through the Mittag-Leffler function is defined, which is employed to study the convolution of Natural transform. Inversion formula for the same transform is derived.

17 ref

002129   Koshy T (Framingham State Univ, , Framingham, MA 01701, USA, Email: tkoshy@emeriti.framingham.edu) : Gibonacci extensions of block's summation formulas. J Indian Acad Math 2015, 37(2), 233-40.

Authors extend Block's summation formulas to the Gibonacci family of Fibonacci and Lucas numbers, and then use their generalizations to develop additional results.

4 ref

002128   Kalaiarasi A;Meenakumari N;Navaneetha Krishnan N (Mathematics Dep, Kamaraj COllege, Thoothukudi, Email: ranikalai1976@gmail.com) : On fuzzy dot Γ-hypersub-near-algebras. Ultra Scient phys Sci-Sect A 2015, 27(2), 145-54.

In this paper we introduce F-hypernear-algebra and obtain some related properties. Also we introduce fuzzy dot F-hypersub-near-algebra and some properties are described.

8 ref

002127   Jat R N;Sharma S C;Jain S;Choudhary A (Mathematics Dep, Rajasthan Univ, Jaipur-302 004, Email: jat.ramniwas@gmail.com) : Fuzzy approach for solving transshipment problem. J Indian Acad Math 2015, 37(2), 213-23.

In this paper, a general fuzzy transshipment problem is discussed. An algorithm is proposed to change the fuzzy transshipment problem into a standard fuzzy transportation problem and solve it by Vogel's approximation method. The optimal solution for the fuzzy transportation problem is the optimal solution for the fuzzy transshipment problem.

11 ref

002126   Jain D K;Jain R;Rastogi D (Applied Mathematics Dep, Madhav Institute of Technology & Science, Gwalior-474 005, Email: jain_dkj@yahoo.co.in) : Variational finite element method to study tear evaporation and intra-ocular temperature in human eye. J Indian Acad Math 2015, 37(2), 203-81.

The aim of this paper is to present a mathematical model for studying the temperature distribution in the human eye at different rates of tear evaporation and changing atmospheric temperatures. The human eye is lubricated with a layer of tear film on the top of cornea. The tear gets evaporated and is constantly replenished through the blinking of the eyelids. The evaporation of tear increases the cooling rate on the outer corneal surface. The study also incorporates the variation in atmospheric temperature and steady body core temperature in the model.

14 illus, 1 table, 13 ref

002125   Gour K;Singh R (NO, B.N.O.G. College Pacific Univ, Udaipur, Rajasthan) : Some results based on product of homogeneous generalized hypergeometric function and modified multivariable H-function. Ultra Scient phys Sci-Sect B 2015, 27(2), 105-12.

The aim of this chapter is to obtain some relations between Modified Multivariable H-function and Homogenous generalized hyper-geometric function and various well-known polynomials. These relations are very general in nature and consequently contain a large number of few and known relation as special cases.

13 ref

002124   Gour K;Singh R (B.N.P.G. College Pacific Univ, , Udaipur, Rajasthan) : Modified multivariable H-function and its fractional integration via pathway operator. Ultra Scient phys Sci-Sect A 2015, 27(2), 135-44.

In recent paper Saxena, Ram and Daiya^{1 developed fractional integration of Multivariable H-function via pathway operator. The object of this paper is to derive fractional integration of Modified Multivariable H-function via pathway operator.}

30 ref

002123   Goel C K;Garg M;Agarwal P (Amity Institute of Applied Sciences, Amity Univ, Noida, Email: ckgoel@amity.edu) : On gs-closed sets in topological spaces. Ultra Scient phys Sci-Sect B 2015, 27(2), 95-104.

In this paper, we introduce and study anew class of sets namely **gs-closed sets which lie in between the class of *gs-closed sets^{32 and the class of gs-closed sets8, we investigate their basic properties together with the relationship of these sets with some other recently introduced sets. As applications of **gs-closes sets, we introduce new separation properties, namely T*_s -spaces, T_s**-spaces and **T_s-spaces. Further we introduce and study new types of continuous functions called **gs-continuous functions and **gs-irresolute functions. Finally, we introduce and study **gs-compactness and **gs-connectedness.}

38 ref

002122   Dubey R K;Thakur S S;Rana S S (Engineering Mathematics Dep, Global Nature Care Sangathans Group of Institutions, Jabalpur, Madhya Pradesh) : Shape preserving interpolation using GC₁ rational cubic trigonometric spline. J Indian Acad Math 2015, 37(2), 283-93.

In the present paper author have constructed a GC^{1 rational cubic trigonometric splineand using a GC piece wise rational cubic trigonometric spline with two shape parameters positive and monotone curve interpolation schemes have been developed.}

14 ref

002121   Debnath S;Debnath J;Bhattacharya D (Mathematics Dep, Tripura Univ, Suryamaninagar-799 022, Email: shyamalnitamath@gmail.com) : On some classes of sequences of intitutionistic fuzzy numbers with respect to ideals. J Indian Acad Math 2015, 37(2), 295-304.

Ideal convergence was initially introduced by Kostyrko et.al. Later on it was further investigated form the sequence space point of view and linked with summability theory. The existing literature on ideal convergence appears to have been restricted to sequences of real numbers, complex numbers or fuzzy numbers. In this paper we have introduced the classes of ideal convergent sequences IFN C₀^{1, IFN C1 IFN LI ∞ of intuitionistic fuzzy numbers. Their different algebraic and topological properties have been examined.}

ref

002120   Debnath A;Sahadevan R (Ramanujan Institute for Advanced (Study in Mathematics), Madras Univ, Chepauk, Chennai-600 005, Email: anjandebnath@rocketmail.com) : On factorisation of certain 5<. J Indian Acad Math 2015, 37(2), 339-51.

An algebraic polynomial of degree 5 having the form p(x ; 5) : = x^{5 + ox4 +bx3 +Cx2 +dx + e where a, b, c, d, e are constants, is considered and shown that under what condition on the parameters it can be written as a factor of cubic and quadratic polynomials. Several soecific examples have been considered for illustration for this purpose.}

1 illus, 1 ref

002119   Bhattacharya D (Maths Dep, Ramgarh College, Jharkhand) : Statistical analysis of leaves a special plant species. Ultra Scient phys Sci-Sect B 2015, 27(2), 81-4.

In this paper an attempt has been made to find a statistical correlation among various characteristics of a leaf of a plant. It is found that coefficient of variation in the leaves of plants species showed marked differences and are specific of each plant. New taxonomical methods have come into play for proper identification of plants species.

1 table, 9 ref

001127   Udayabaskaran S;Ranganathan N G;Lalitha D (School of Basic Sciences, Vel Tech Rangarajan Dr. Sagunthala R & D Insitute of Science and Techn, Chennai-600 062, Email: udayabaskaran.s@gmail.com) : A stochastic model of production of HIV virions subject to a raverse transcriptase inhibitor therapy and three delays. Far East J mathl Sci 2015, 98(4), 477-94.

In this paper, we study a stochastic model which considers the three stages (delays) in the HIV production by an infected cell and obtain the probability density function of the life-time of an infected cell. To be specific, we consider a stochastic model of HIV infection with a reverse transcriptase inhibitor (RTI) therapy and three delays: the first delay is defined as the time interval from the time of virus entry into the target cell to the time of reverse transcription completion, the second delay represents the time interval from the time of reverse transcription completion to the time of integration of viral DNA with the host DNA and the third delay corresponds to the time interval from the time of integration to the time of lysis. We obtain the joint probability generating function for the number of viral RNAs, the number of buds and the number of mature virions produced by the infected cell. We also find the mean values of number of viral RNAs, the number of buds and the number of mature virion separated out from the cell wall. We also provide the density function of the time of lysis. A numerical illustration and a comparative discussion are provided to highlight the impact of delays on the production of HIV virion.

4 illus, 20 ref

001126   Thangam T;Bageerathi K (Mathematics Dep, Govindammal Aditanar, College for Women, Tiruchendur-628 215) : On weak forms of continuous and irresolute function in fuzzy bitopological spaces. Ultra Scient phys Sci-Sect A 2015, 27(3), 205-16.

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001125   Sreenadh S;Chakradhar K;Srinivas A N S (Mathematics Dep, Sri Venkateswara Univ, Tirupati, Email: anssrinivas) : Peristaltic transport of a power law fluid in a channel with permeable walls. Indian J Math mathl Sci 2016, 12(1), 107-22.

Peristaltic transport of a power-law fluid in a two-dimensional channel with permeable walls is studied in the present work. The mathematical modeling has been carried under the long wavelength and low Reynolds number approximations. The analytical solution for pressure rise, frictional force and stream function in the wave frame of reference are obtained. The effect of different parameters on pumping characteristics and frictional forces are discussed graphically. It is observed that for a given pressure difference, an increase in the Darcy number decreases the flux. Physically it means that, the increase in the permeability parameter of the porous lining of the wall reduces the flux. The effect of fluid behavior index n on the streamline pattern is studied and the phenomenon of trapping is discussed.

12 illus, 17 ref

001124   Song Y;Lee D (Mathemaics Dep, Kungwoon Univ, Seoul-139-701, Republic of Korea, Email: yksong@kw.ac.kr) : Tensor product decompositions of the real Clifford algebra. Far East J mathl Sci 2015, 98(1), 119-31.

In this paper, Authors present some methods to decompose the Clifford algebra Cl_p,q into some Clifford algebras via tensor product by using the vector generators of Cl_o,p, Cl_o,q and Cl_p,o. In particular, we prove that Cl_{n-k+1, k-1} is isomorphic to Cl_0,n-k+1 ⊗ Cl_0,k-1 if k-1 = 2t for some odd number t and Cl_{n-K+1, k-1} is isomorphic to Cl_n-k+1,0 ⊗ Cl_0,k-1 if k-1 = 2t for some even number t. Furthermore, we apply those results to matrix representations of the real Clifford algebras.

5 ref

001123   Shrivastava R;Jain N;Qureshi K (Mathematics Dep, Govt. Science and Comm. College Benazir, Bhopal, Madhya pradesh) : Common fixed point theorem in Hilbert spaces. Indian J Math mathl Sci 2016, 12(1), 55-60.

In this paper, we discuss the existence and unique of fixed point for two pairs of weakly compatible maps in Hilbert space which generalizes and improves similar fixed point results.

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