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Approximation of a Function Belonging to the Class Lip (ψ (t), p) by Using [s,an] Means 用[s,an]均值逼近Lip (ψ (t)， p)类函数
Bulletin of Mathematical Sciences and Applications Pub Date : 2015-06-01 DOI: 10.18052/WWW.SCIPRESS.COM/BSMASS.14.1
S. Mukherjee
{"title":"Approximation of a Function Belonging to the Class Lip (ψ (t), p) by Using [s,an] Means","authors":"S. Mukherjee","doi":"10.18052/WWW.SCIPRESS.COM/BSMASS.14.1","DOIUrl":"https://doi.org/10.18052/WWW.SCIPRESS.COM/BSMASS.14.1","url":null,"abstract":"introduced [F,dn] transformation which methods the Euler method (E,q) Karmata method (K λ ) and Lotosky method as particular cases. For the first time Meir and Sharma 5 introduced generalization of the Sa method and called it [S, αn] method. They obtained sufficient condition for the regularity of this method. They also examined the behaviour of its Lebesgue constant. Let a jbe a given sequence of real complex numbers. We shall say that a jf is the","PeriodicalId":252632,"journal":{"name":"Bulletin of Mathematical Sciences and Applications","volume":"01 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2015-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"128895999","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Numerical solution of Fisher's equation using finite difference 费雪方程的有限差分数值解
Bulletin of Mathematical Sciences and Applications Pub Date : 2015-05-04 DOI: 10.18052/WWW.SCIPRESS.COM/BMSA.12.27
S. Alhazmi
{"title":"Numerical solution of Fisher's equation using finite difference","authors":"S. Alhazmi","doi":"10.18052/WWW.SCIPRESS.COM/BMSA.12.27","DOIUrl":"https://doi.org/10.18052/WWW.SCIPRESS.COM/BMSA.12.27","url":null,"abstract":"A numerical method is proposed to approximate the numeric solutions of nonlinear Fisher's reaction diffusion equation with finite difference method. The method is based on replacing each terms in the Fisher's equation using finite difference method. The proposed method has the advantage of reducing the problem to a nonlinear system, which will be derived and solved using Newton method. FTCS and CN method will be introduced, compared and tested.","PeriodicalId":252632,"journal":{"name":"Bulletin of Mathematical Sciences and Applications","volume":"90 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2015-05-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"126449611","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 5
Fixed Point Theorems for Compatible Mappings of Type (R) in Menger Spaces Menger空间中(R)型相容映射的不动点定理
Bulletin of Mathematical Sciences and Applications Pub Date : 2015-05-04 DOI: 10.18052/WWW.SCIPRESS.COM/BMSA.12.41
Oinam Budhichandra Singh, N. Leenthoi, T. Devi
{"title":"Fixed Point Theorems for Compatible Mappings of Type (R) in Menger Spaces","authors":"Oinam Budhichandra Singh, N. Leenthoi, T. Devi","doi":"10.18052/WWW.SCIPRESS.COM/BMSA.12.41","DOIUrl":"https://doi.org/10.18052/WWW.SCIPRESS.COM/BMSA.12.41","url":null,"abstract":"The aim of this paper is to introduce the concept of compatible mappings of type (R) in 2-metric spaces and to prove a coincidence point theorem and a fixed point theorem for compatible mappings of type (R) in 2matric spaces.","PeriodicalId":252632,"journal":{"name":"Bulletin of Mathematical Sciences and Applications","volume":"12 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2015-05-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"129962292","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
BEAL'S CONJECTURE-COUNTER EXAMPLES 比尔的猜想反例
Bulletin of Mathematical Sciences and Applications Pub Date : 2015-05-04 DOI: 10.18052/WWW.SCIPRESS.COM/BMSA.12.39
S. Saravanan
{"title":"BEAL'S CONJECTURE-COUNTER EXAMPLES","authors":"S. Saravanan","doi":"10.18052/WWW.SCIPRESS.COM/BMSA.12.39","DOIUrl":"https://doi.org/10.18052/WWW.SCIPRESS.COM/BMSA.12.39","url":null,"abstract":"In (1-4), proof for Beal's Conjecture has been presented. Counter examples for Beal's Conjecture are presented in this paper.","PeriodicalId":252632,"journal":{"name":"Bulletin of Mathematical Sciences and Applications","volume":"26 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2015-05-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"125416919","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
Recent Research Discourses on K-T1/2 Spaces (K=α,p,β,s & pr) 关于K- t1 /2空间(K=α，p，β，s & pr)的研究进展
Bulletin of Mathematical Sciences and Applications Pub Date : 2015-05-04 DOI: 10.18052/WWW.SCIPRESS.COM/BMSA.12.19
T. K. Raman, V. Kumari
{"title":"Recent Research Discourses on K-T1/2 Spaces (K=α,p,β,s & pr)","authors":"T. K. Raman, V. Kumari","doi":"10.18052/WWW.SCIPRESS.COM/BMSA.12.19","DOIUrl":"https://doi.org/10.18052/WWW.SCIPRESS.COM/BMSA.12.19","url":null,"abstract":"Framing of this paper is to project the recent research work on -T1/2 spaces where = α, p,β,s & pr and to overview their fundamental properties at a glance. However, the structure and characteristics possessed by these spaces are not always that easy to comprehend. These spaces are very useful in the study of certain objects in digital topology viz E.D.Khalinmsky et.al(23) showed that the digital line is a typical example of a T1/2-space in which the closed sets and g- closed sets coincide. 1. Introduction & Preliminaries : Being one among the important and interesting concepts in Topology, separation axioms are used to coin restricted classes of topological spaces as -T1/2 spaces where = α, p,β,s& pr(i.e. pre regular).","PeriodicalId":252632,"journal":{"name":"Bulletin of Mathematical Sciences and Applications","volume":"9 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2015-05-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"132475150","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Common Fixed Point Theorem in Intuitionistic Fuzzy Metric Spaces Satisfying Integral Type Inequality 满足积分型不等式的直觉模糊度量空间中的公共不动点定理
Bulletin of Mathematical Sciences and Applications Pub Date : 2015-05-04 DOI: 10.18052/WWW.SCIPRESS.COM/BMSA.12.14
Varun Singh, Arvind Gupta, Geeta Modi
{"title":"Common Fixed Point Theorem in Intuitionistic Fuzzy Metric Spaces Satisfying Integral Type Inequality","authors":"Varun Singh, Arvind Gupta, Geeta Modi","doi":"10.18052/WWW.SCIPRESS.COM/BMSA.12.14","DOIUrl":"https://doi.org/10.18052/WWW.SCIPRESS.COM/BMSA.12.14","url":null,"abstract":"We prove common fixed point theorem for weakly compatible maps in Intuitionistic fuzzy metric space satisfying integral type inequality but without using the completeness of space or continuity of the mappings involved. We prove by using the concept of E A property.","PeriodicalId":252632,"journal":{"name":"Bulletin of Mathematical Sciences and Applications","volume":"12 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2015-05-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"129698095","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 2
Non-Unit Bidiagonal Matrices for Factorization of Vandermonde Matrices Vandermonde矩阵分解的非单位双对角矩阵
Bulletin of Mathematical Sciences and Applications Pub Date : 2015-05-04 DOI: 10.18052/WWW.SCIPRESS.COM/BMSA.12.1
R. Nair
{"title":"Non-Unit Bidiagonal Matrices for Factorization of Vandermonde Matrices","authors":"R. Nair","doi":"10.18052/WWW.SCIPRESS.COM/BMSA.12.1","DOIUrl":"https://doi.org/10.18052/WWW.SCIPRESS.COM/BMSA.12.1","url":null,"abstract":"A non-unit bidiagonal matrix and its inverse with simple structures are introduced. These matrices can be constructed easily using the entries of a given non-zero vector without any computations among the entries. The matrix transforms the given vector to a column of the identity matrix. The given vector can be computed back without any round off error using the inverse matrix. Since a Vandermonde matrix can also be constructed using given n quantities, it is established in this paper that Vandermonde matrices can be factorized in a simple way by applying these bidiagonal matrices. Also it is demonstrated that factors of Vandermonde and inverse Vandermonde matrices can be conveniently presented using the matrices introduced here.","PeriodicalId":252632,"journal":{"name":"Bulletin of Mathematical Sciences and Applications","volume":"41 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2015-05-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"124619430","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Proof of the Beal Conjecture through the Fundamental Theorem of Arithmetic 用算术基本定理证明比尔猜想
Bulletin of Mathematical Sciences and Applications Pub Date : 2015-05-01 DOI: 10.18052/WWW.SCIPRESS.COM/BMSA.12.35
E. Watson
{"title":"Proof of the Beal Conjecture through the Fundamental Theorem of Arithmetic","authors":"E. Watson","doi":"10.18052/WWW.SCIPRESS.COM/BMSA.12.35","DOIUrl":"https://doi.org/10.18052/WWW.SCIPRESS.COM/BMSA.12.35","url":null,"abstract":"","PeriodicalId":252632,"journal":{"name":"Bulletin of Mathematical Sciences and Applications","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2015-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"121644020","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
The Amazing Proof of the Erdős-Straus Conjecture Erdős-Straus猜想的惊人证明
Bulletin of Mathematical Sciences and Applications Pub Date : 2015-05-01 DOI: 10.18052/WWW.SCIPRESS.COM/BMSA.12.36
Leszek W. Guła
{"title":"The Amazing Proof of the Erdős-Straus Conjecture","authors":"Leszek W. Guła","doi":"10.18052/WWW.SCIPRESS.COM/BMSA.12.36","DOIUrl":"https://doi.org/10.18052/WWW.SCIPRESS.COM/BMSA.12.36","url":null,"abstract":"The search for expansions of rational numbers as sums of unit fractions dates to the mathematics of ancient Egypt, in which Egyptian fraction expansions of this type were used as a notation for recording fractional quantities. The Egyptians produced tables such as the Rhind Mathematical Papyrus 2/n table of expansions of fractions of the form 2/n, most of which use either two or three terms. Egyptian fractions typically have an additional constraint, that all of the unit fractions be distinct from each other, but for the purposes of the Erdős–Straus conjecture this makes no difference: if 4/n can be expressed as a sum of at most three unit fractions, it can also be expressed as a sum of at most three distinct unit fractions. [1] The Erdős–Straus Conjecture concerns the Diophantine Equations. One important topic in number theory is the study of Diophantine equations, equations in which only integer solutions are permitted. The type of Diophantine equation discussed in this paper concerns Egyptian fractions, which deal with the representation of rational numbers as the sum of three unit fractions. [2]","PeriodicalId":252632,"journal":{"name":"Bulletin of Mathematical Sciences and Applications","volume":"55 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2015-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"134136928","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
A NOTE ON MULTIPLICATIVE TRIPLE FIBONACCI SEQUENCES 关于乘法三重斐波那契数列的注释
Bulletin of Mathematical Sciences and Applications Pub Date : 2015-03-02 DOI: 10.18052/WWW.SCIPRESS.COM/BSMASS.13.1
Satish Kumar, H. Kishan, Deepak Gupta
{"title":"A NOTE ON MULTIPLICATIVE TRIPLE FIBONACCI SEQUENCES","authors":"Satish Kumar, H. Kishan, Deepak Gupta","doi":"10.18052/WWW.SCIPRESS.COM/BSMASS.13.1","DOIUrl":"https://doi.org/10.18052/WWW.SCIPRESS.COM/BSMASS.13.1","url":null,"abstract":"In this paper, multiplicative triple Fibonacci sequences have been discussed. Here the results obtained by Singh et.al [3] have been extended. Some new theorems have been established.","PeriodicalId":252632,"journal":{"name":"Bulletin of Mathematical Sciences and Applications","volume":"141 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2015-03-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"121386735","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
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