Boletim Sociedade Paranaense de Matematica最新文献

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On $S_{alpha }^{beta }(theta ,A,F)-$convergence and strong $N_{alpha }^{beta }(theta ,A,F)-$convergence 关于$S_{alpha}^{beta}(theta,A,F)-$收敛和强$N_{alpha}^{teta}(ttheta,A,F)-$收敛
IF 0.5
Boletim Sociedade Paranaense de Matematica Pub Date : 2022-12-26 DOI: 10.5269/bspm.51415
Hacer Şengül Kandemir, M. Et, H. Cakalli
{"title":"On $S_{alpha }^{beta }(theta ,A,F)-$convergence and strong $N_{alpha }^{beta }(theta ,A,F)-$convergence","authors":"Hacer Şengül Kandemir, M. Et, H. Cakalli","doi":"10.5269/bspm.51415","DOIUrl":"https://doi.org/10.5269/bspm.51415","url":null,"abstract":"In this paper, we introduce strong $N_{alpha }^{beta }(theta ,A,F)-$convergence and $S_{alpha }^{beta }(theta ,A,F)-$% convergence with respect to a sequence of modulus functions and give some connections between strongly $N_{alpha }^{beta }(theta ,A,F)-$convergent sequences and $S_{alpha }^{beta }(theta ,A,F)-$convergent sequences for $% 0<alpha leq beta leq 1$.","PeriodicalId":44941,"journal":{"name":"Boletim Sociedade Paranaense de Matematica","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2022-12-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46826020","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 the structure of split regular -Hom-Jordan-Lie superalgebras 关于分裂正则Hom-Jordan李超代数的结构
IF 0.5
Boletim Sociedade Paranaense de Matematica Pub Date : 2022-12-26 DOI: 10.5269/bspm.47798
Valiollah Khalili
{"title":"On the structure of split regular -Hom-Jordan-Lie superalgebras","authors":"Valiollah Khalili","doi":"10.5269/bspm.47798","DOIUrl":"https://doi.org/10.5269/bspm.47798","url":null,"abstract":"In this paper we study the structure of arbitrary split regular -Hom-Jordan-Lie super algebras. By developing techniques of connections of roots for this kind of algebras, we show that such a split regular -Hom-Jordan-Lie superalgebra L is of the form \u0000L = H \u0000[] \u0000  \u0000Σ \u0000[]2= V \u0000[]; with H  \u0000[] a graded linear subspace of the graded abelian subalgebra H and any V [ ]; a well-described ideal of L; satisfying [V [ ]; V []] = 0 if [] ̸= []: Under certain conditions, in the case of L being of maximal length, the simplicity of the algebra is characterized and it is shown that L is the direct sum of the family of its minimal ideals, each one being a simple split regular -Hom-Jordan-Lie superalgebra.","PeriodicalId":44941,"journal":{"name":"Boletim Sociedade Paranaense de Matematica","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2022-12-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45283630","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
Hausdorff of a cycle in topological graph 拓扑图中循环的Hausdorff
IF 0.5
Boletim Sociedade Paranaense de Matematica Pub Date : 2022-12-26 DOI: 10.5269/bspm.52013
A. Jabor, Ahmed Abd-Ali Omran
{"title":"Hausdorff of a cycle in topological graph","authors":"A. Jabor, Ahmed Abd-Ali Omran","doi":"10.5269/bspm.52013","DOIUrl":"https://doi.org/10.5269/bspm.52013","url":null,"abstract":"The main purpose of the paper is to bring together two areas in which strong relation, graph theory and topological spaces. And derive interesting formula for the set that contains all minimal dominating sets(MDS) and ( -set). Some separation axioms are discussed in topological graph theory, especially in a cycle graph Cn.","PeriodicalId":44941,"journal":{"name":"Boletim Sociedade Paranaense de Matematica","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2022-12-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43426897","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
Bi-derivations and quasi-multipliers on module extensions Banach algebras 模扩张Banach代数上的双导子和拟乘子
IF 0.5
Boletim Sociedade Paranaense de Matematica Pub Date : 2022-12-26 DOI: 10.5269/bspm.52574
A. Jabbari, A. Ebadian
{"title":"Bi-derivations and quasi-multipliers on module extensions Banach algebras","authors":"A. Jabbari, A. Ebadian","doi":"10.5269/bspm.52574","DOIUrl":"https://doi.org/10.5269/bspm.52574","url":null,"abstract":"This paper characterize two bi-linear maps bi-derivations and quasi-multipliers on the module extension Banach algebra $Aoplus_1 X$, where $A$ is a Banach algebra and $X$ is a Banach $A$-module. Under some conditions, it is shown that if every bi-derivation on $Aoplus_1 A$ is inner, then the quotient group of bounded bi-derivations and inner bi-derivations, is equal to space of quasi-multipliers of $A$. Moreover, it is proved that $mathrm{QM}(A oplus_1 A)=mathrm{QM}(A)oplus (mathrm{QM}(A)+mathrm{QM}(A)')$, where $mathrm{QM}(A)'={min mathrm{QM}(A):m(0,a)=m(a,0)=0}$.","PeriodicalId":44941,"journal":{"name":"Boletim Sociedade Paranaense de Matematica","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2022-12-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47109864","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 h-open sets and h-continuous functions 在h开集和h连续函数上
IF 0.5
Boletim Sociedade Paranaense de Matematica Pub Date : 2022-12-26 DOI: 10.5269/bspm.51006
F. Abbas
{"title":"On h-open sets and h-continuous functions","authors":"F. Abbas","doi":"10.5269/bspm.51006","DOIUrl":"https://doi.org/10.5269/bspm.51006","url":null,"abstract":"The aim of this paper is to introduce a new class of open sets called h-open sets. Also, introduce and study topological properties of hinterior, h-closure, h-limit points, h-derived, h-interior points, h-border, h-frontier and h-exterior by using the concept of h-open sets. Moreover introduce the notion of h-continuous functions, h-open functions, hirresolute functions, h-totally continuous functions, h-contra-continuous functions, h-homeomorphism and investigate some properties of these functions and study some properties, remarks related to them.","PeriodicalId":44941,"journal":{"name":"Boletim Sociedade Paranaense de Matematica","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2022-12-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41756787","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: 4
A new class of Laguerre based Frobenius type Eulerian numbers and polynomials 一类新的基于拉盖尔的Frobenius型欧拉数和多项式
IF 0.5
Boletim Sociedade Paranaense de Matematica Pub Date : 2022-12-26 DOI: 10.5269/bspm.52125
W. Khan, K. S. Nisar
{"title":"A new class of Laguerre based Frobenius type Eulerian numbers and polynomials","authors":"W. Khan, K. S. Nisar","doi":"10.5269/bspm.52125","DOIUrl":"https://doi.org/10.5269/bspm.52125","url":null,"abstract":"In this article, we introduce a new class of generalized Laguerre-based Frobenius type Eulerian polynomials and then derive diverse explicit and implicit summation formulae and symmetric identities by using series manipulation techniques. Multifarious summation formulas and identities are given earlier for some well known polynomials such as Eulerian polynomials and Frobenius type Eulerian polynomials are generalized.","PeriodicalId":44941,"journal":{"name":"Boletim Sociedade Paranaense de Matematica","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2022-12-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47609866","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
Complete transversal and formal normal forms of germs of vector fields 向量场芽的完全横向正规形式
IF 0.5
Boletim Sociedade Paranaense de Matematica Pub Date : 2022-12-26 DOI: 10.5269/bspm.46354
Soledad Ramírez-Carrasco, Percy Fernández-Sánchez
{"title":"Complete transversal and formal normal forms of germs of vector fields","authors":"Soledad Ramírez-Carrasco, Percy Fernández-Sánchez","doi":"10.5269/bspm.46354","DOIUrl":"https://doi.org/10.5269/bspm.46354","url":null,"abstract":"In this work, inspired by the technique of the complete transversal, used for the classification of plane branches, developed by Hefez, A. and Hernandes, M., as well as Bruce, J.W., Kirk, N.P. and du Plesis, A.A., study the singularities of applications, we establish a classification of vector fields through their normal forms. In the case of vector fields with non zero linear part in $(mathbb{C}^{2}, 0) $ and nilpotent fields in $(mathbb {C}^{n}, 0), ngeq 2$ we recover the classical normal forms for those fields, and we provide a formal normal form different from Takens in dimension 2. Likewise, we obtain the normal form for the vector fields in $(mathbb{C},0)$ of any multiplicity.","PeriodicalId":44941,"journal":{"name":"Boletim Sociedade Paranaense de Matematica","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2022-12-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45098687","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 quasi focal curves with quasi frame in space 空间中具有准框架的准焦曲线
IF 0.5
Boletim Sociedade Paranaense de Matematica Pub Date : 2022-12-26 DOI: 10.5269/bspm.50873
T. Körpınar
{"title":"On quasi focal curves with quasi frame in space","authors":"T. Körpınar","doi":"10.5269/bspm.50873","DOIUrl":"https://doi.org/10.5269/bspm.50873","url":null,"abstract":"In this study, we firstly characterize focal curves by considering quasi frame in the ordinary space. Then, we obtain the relation of each quasi curvatures of curve in terms of focal curvatures. Finally, we give some new conditions with constant quasi curvatures in the ordinary space.","PeriodicalId":44941,"journal":{"name":"Boletim Sociedade Paranaense de Matematica","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2022-12-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42621153","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
Finite summation formulas for the multivariable $A$-function 多变量$A$-函数的有限求和公式
IF 0.5
Boletim Sociedade Paranaense de Matematica Pub Date : 2022-12-26 DOI: 10.5269/bspm.51894
D. Kumar, F. Ayant, J. Daiya, K. S. Nisar
{"title":"Finite summation formulas for the multivariable $A$-function","authors":"D. Kumar, F. Ayant, J. Daiya, K. S. Nisar","doi":"10.5269/bspm.51894","DOIUrl":"https://doi.org/10.5269/bspm.51894","url":null,"abstract":"The object of this paper is to evaluate some finite double summations relations for the multivariable $A$-function using the summation of a double hypergeometric series. The formulas derived in this paper are most general in character, we also provide a few particular cases for derived summation formulas.","PeriodicalId":44941,"journal":{"name":"Boletim Sociedade Paranaense de Matematica","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2022-12-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42721751","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
Convergence theorem for split feasibility problem, equilibrium problem and zeroes of sum of monotone operators 分裂可行性问题、平衡问题和单调算子和的零的收敛性定理
IF 0.5
Boletim Sociedade Paranaense de Matematica Pub Date : 2022-12-26 DOI: 10.5269/bspm.51319
O. Oyewole, L. Jolaoso, O. Mewomo, S. H. Khan
{"title":"Convergence theorem for split feasibility problem, equilibrium problem and zeroes of sum of monotone operators","authors":"O. Oyewole, L. Jolaoso, O. Mewomo, S. H. Khan","doi":"10.5269/bspm.51319","DOIUrl":"https://doi.org/10.5269/bspm.51319","url":null,"abstract":"The main purpose of this paper is to introduce a parallel iterative algorithm for approximating the solution of a split feasibility problem on the zero of monotone operators, generalized mixed equilibrium problem and fixed point problem. Using our algorithm, we state and prove a strong convergence theorem for approximating a common element in the set of solutions of a problem of finding zeroes of sum of two monotone operators,generalized mixed equilibrium problem and fixed point problem for a finite family of $eta$-demimetric mappings in the frame work of a reflexive, strictly convex and smooth Banach spaces. We also give a numerical experiment applying our main result. Our result improves, extends and unifies other results in this direction in the literature.","PeriodicalId":44941,"journal":{"name":"Boletim Sociedade Paranaense de Matematica","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2022-12-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48785231","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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