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Bernstein Operator of Rough λ-statistically and ρ Cauchy Sequences Convergence on Triple Sequence Spaces 粗糙λ-统计和ρ Cauchy序列在三重序列空间上收敛的Bernstein算子
Journal of the Indian Mathematical Society Pub Date : 2018-01-04 DOI: 10.18311/JIMS/2018/15896
S. Velmurugan, N. Subramanian
{"title":"Bernstein Operator of Rough λ-statistically and ρ Cauchy Sequences Convergence on Triple Sequence Spaces","authors":"S. Velmurugan, N. Subramanian","doi":"10.18311/JIMS/2018/15896","DOIUrl":"https://doi.org/10.18311/JIMS/2018/15896","url":null,"abstract":"In this article, using the concept of natural density, we introduce the notion of Bernstein polynomials of rough λ−statistically and ρ−Cauchy triple sequence spaces. We define the set of Bernstein polynomials of rough statistical limit points of a triple sequence spaces and obtain to λ−statistical convergence criteria associated with this set. We examine the relation between the set of Bernstein polynomials of rough λ−statistically and ρ− Cauchy triple sequences.","PeriodicalId":38246,"journal":{"name":"Journal of the Indian Mathematical Society","volume":"85 1","pages":"256-264"},"PeriodicalIF":0.0,"publicationDate":"2018-01-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42452557","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: 7
Sturm-Liouville Problems with Discontinuities at Two Interior Points 具有两个内点不连续性的Sturm-Liouville问题
Journal of the Indian Mathematical Society Pub Date : 2018-01-04 DOI: 10.18311/JIMS/2018/14940
Hongmei Han
{"title":"Sturm-Liouville Problems with Discontinuities at Two Interior Points","authors":"Hongmei Han","doi":"10.18311/JIMS/2018/14940","DOIUrl":"https://doi.org/10.18311/JIMS/2018/14940","url":null,"abstract":"In this paper, we study the Sturm-Liouville operator with eigenparameter-dependent boundary conditions and transmission conditions at two interior points. We establish a new operator A associated with the problem, prove the operator A is self-adjoint in an appropriate space H , construct the basic solutions and investigate some properties of the eigenvalues and corresponding eigenfunctions, then obtain asymptotic formulas for the eigenvalues and eigenfunctions, its Green function and the resolvent operator are also involved.","PeriodicalId":38246,"journal":{"name":"Journal of the Indian Mathematical Society","volume":"85 1","pages":"70-91"},"PeriodicalIF":0.0,"publicationDate":"2018-01-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44035540","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
Atom Bond Connectivity Indices of Jahangir Graphs (J n,m ) Jahangir图的原子键连通性指标(J,m)
Journal of the Indian Mathematical Society Pub Date : 2018-01-04 DOI: 10.18311/JIMS/2018/11049
K. G. Mirajkar, Bhagyashri R. Doddamani
{"title":"Atom Bond Connectivity Indices of Jahangir Graphs (J n,m )","authors":"K. G. Mirajkar, Bhagyashri R. Doddamani","doi":"10.18311/JIMS/2018/11049","DOIUrl":"https://doi.org/10.18311/JIMS/2018/11049","url":null,"abstract":"In this paper, we determine the first four types of atom bond connectivity indices of Jahangir graphs.","PeriodicalId":38246,"journal":{"name":"Journal of the Indian Mathematical Society","volume":"85 1","pages":"202-216"},"PeriodicalIF":0.0,"publicationDate":"2018-01-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46106888","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
p-Deformation of a General Class of Polynomials and its Properties 一类一般多项式的p-变形及其性质
Journal of the Indian Mathematical Society Pub Date : 2018-01-04 DOI: 10.18311/JIMS/2018/17945
Rajesh V. Savalia, B. I. Dave
{"title":"p-Deformation of a General Class of Polynomials and its Properties","authors":"Rajesh V. Savalia, B. I. Dave","doi":"10.18311/JIMS/2018/17945","DOIUrl":"https://doi.org/10.18311/JIMS/2018/17945","url":null,"abstract":"The work incorporates the extension of the Srivastava-Pathan’s generalized polynomial by means of p-generalized gamma function: Γ p and Pochhammer p-symbol (x) n,p due to Rafael Diaz and Eddy Pariguan [Divulgaciones Mathematicas Vol.15, No. 2(2007), pp. 179-192]. We establish the inverse series relation of this extended polynomial with the aid of general inversion theorem. We also obtain the generating function relations and the differential equation. Certain p -deformed combinatorial identities are illustrated in the last section.","PeriodicalId":38246,"journal":{"name":"Journal of the Indian Mathematical Society","volume":"85 1","pages":"226-240"},"PeriodicalIF":0.0,"publicationDate":"2018-01-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44654201","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
On the Rate of Convergence of Wavelet Expansions 关于小波展开的收敛速度
Journal of the Indian Mathematical Society Pub Date : 2018-01-04 DOI: 10.18311/JIMS/2018/14929
Varsha Karanjgaokar
{"title":"On the Rate of Convergence of Wavelet Expansions","authors":"Varsha Karanjgaokar","doi":"10.18311/JIMS/2018/14929","DOIUrl":"https://doi.org/10.18311/JIMS/2018/14929","url":null,"abstract":"In this paper we estimate the rate of convergence of wavelet expansion of functions f ∈ L p , 1 ≤ p ≤ ∞ at a point x. The pointwise and L p results were obtained by Kelly, S. [4]. Our result generalizes her result.","PeriodicalId":38246,"journal":{"name":"Journal of the Indian Mathematical Society","volume":"85 1","pages":"100-110"},"PeriodicalIF":0.0,"publicationDate":"2018-01-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"67507542","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
On Rough Convergence of Fuzzy Numbers Based on α-Level Sets 基于α-水平集的模糊数的粗糙收敛性
Journal of the Indian Mathematical Society Pub Date : 2018-01-04 DOI: 10.18311/JIMS/2018/17869
S. Debnath, D. Rakshit
{"title":"On Rough Convergence of Fuzzy Numbers Based on α-Level Sets","authors":"S. Debnath, D. Rakshit","doi":"10.18311/JIMS/2018/17869","DOIUrl":"https://doi.org/10.18311/JIMS/2018/17869","url":null,"abstract":"In this paper we have established some basic properties of rough convergence for fuzzy number sequences. Also introduce the set of rough limit points of a sequence of fuzzy number using α-level set and prove some results associated with this set.","PeriodicalId":38246,"journal":{"name":"Journal of the Indian Mathematical Society","volume":"85 1","pages":"42-52"},"PeriodicalIF":0.0,"publicationDate":"2018-01-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43118032","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: 3
2-Inner Product which Takes Values in a Locally C* - Algebras 局部C*-代数中取值的2-内积
Journal of the Indian Mathematical Society Pub Date : 2018-01-04 DOI: 10.18311/JIMS/2018/14953
B. M. Najmabadi, T. L. Shateri
{"title":"2-Inner Product which Takes Values in a Locally C* - Algebras","authors":"B. M. Najmabadi, T. L. Shateri","doi":"10.18311/JIMS/2018/14953","DOIUrl":"https://doi.org/10.18311/JIMS/2018/14953","url":null,"abstract":"In this paper we introduce the new concept of 2-inner product map that takes values on locally C* -algebras. Then we prove some results on Schwarz inequality, the polarization identity and related important properties.","PeriodicalId":38246,"journal":{"name":"Journal of the Indian Mathematical Society","volume":"85 1","pages":"217-225"},"PeriodicalIF":0.0,"publicationDate":"2018-01-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43350891","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
Monoid and Topological Groupoid Monoid与拓扑Groupoid
Journal of the Indian Mathematical Society Pub Date : 2018-01-04 DOI: 10.18311/JIMS/2018/15930
Mohammad Qasim Mann’a
{"title":"Monoid and Topological Groupoid","authors":"Mohammad Qasim Mann’a","doi":"10.18311/JIMS/2018/15930","DOIUrl":"https://doi.org/10.18311/JIMS/2018/15930","url":null,"abstract":"Here we introduce some new results which are relative to the concept of topological monoid-groupoid and prove that the category of topological monoid coverings of X is equivalent to the category covering groupoids of the monoid-groupoid π 1 (X). Also, it is shown that the monoid structure of monoid-groupoid lifts to a universal covering groupoid.","PeriodicalId":38246,"journal":{"name":"Journal of the Indian Mathematical Society","volume":"85 1","pages":"192-201"},"PeriodicalIF":0.0,"publicationDate":"2018-01-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43962758","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
Heat Potentials Method in the Treatment of One-Dimensional Free Boundry Problems Applied in Cryomedicine 热势法在低温医学中一维自由边界问题处理中的应用
Journal of the Indian Mathematical Society Pub Date : 2018-01-04 DOI: 10.18311/jims/2018/18900
F. Kudayeva, Arslan A. Kaigermazov, Elizaveta K. Edgulova, M. M. Tkhabisimova, A. R. Bechelova
{"title":"Heat Potentials Method in the Treatment of One-Dimensional Free Boundry Problems Applied in Cryomedicine","authors":"F. Kudayeva, Arslan A. Kaigermazov, Elizaveta K. Edgulova, M. M. Tkhabisimova, A. R. Bechelova","doi":"10.18311/jims/2018/18900","DOIUrl":"https://doi.org/10.18311/jims/2018/18900","url":null,"abstract":"Free boundary problems are considered to be the most difcult and the least researched in the eld of mathematical physics. The present article is concerned with the research of the following issue: treatment of one-dimensional free boundary problems. The treated problem contains a nonlinear evolutionary equation, which occurs within the context of mathematical modeling of cryosurgery problems. In the course of the research, an integral expression has been obtained. The obtained integral expression presents a general solution to the non-homogeneous evolutionary equation which contains the functions that represent simple-layer and double-layer heat potential density. In order to determine the free boundary and the density of potential a system of nonlinear, the second kind of Fredholm integral equations was obtained within the framework of the given work. The treated problem has been reduced to the system of integral equations. In order to reduce the problem to the integral equation system, a method of heat potentials has been used. In the obtained system of integral equations instead of K(ξ; x; τ - t) in case of Dirichlet or Neumann conditions the corresponding Greens functions G(ξ; x; τ - t) or N(ξ; x; τ - t) have been applied. Herewith the integral expression contains fewer densities, but the selection of arbitrary functions is reserved. The article contains a number of results in terms of building a mathematical model of cooling and freezing processes of biological tissue, as well as their effective solution development.","PeriodicalId":38246,"journal":{"name":"Journal of the Indian Mathematical Society","volume":"85 1","pages":"111-131"},"PeriodicalIF":0.0,"publicationDate":"2018-01-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46322116","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
Path Connected Components in the Spaces of Weighted Composition Operators with the Strong Operator Topology II 具有强算子拓扑的加权复合算子空间中的路径连通分量II
Journal of the Indian Mathematical Society Pub Date : 2018-01-01 DOI: 10.18311/JIMS/2018/16577
K. Izuchi, Y. Izuchi
{"title":"Path Connected Components in the Spaces of Weighted Composition Operators with the Strong Operator Topology II","authors":"K. Izuchi, Y. Izuchi","doi":"10.18311/JIMS/2018/16577","DOIUrl":"https://doi.org/10.18311/JIMS/2018/16577","url":null,"abstract":"The path connected components are determined in the space of weighted composition operators on the space of bounded harmonic functions with the strong operator topology.","PeriodicalId":38246,"journal":{"name":"Journal of the Indian Mathematical Society","volume":"85 1","pages":"92-99"},"PeriodicalIF":0.0,"publicationDate":"2018-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"67507603","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
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