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Journal of Mathematical Extension最新文献

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Control Fusion Frames in Hilbert Spaces and Their Dual Hilbert空间中的控制融合框架及其对偶
IF 0.5
Journal of Mathematical Extension Pub Date : 2020-09-08 DOI: 10.30495/JME.V0I0.1476
Habib Shakoory, R. Ahmadi, N. Behzadi, S. Nami
{"title":"Control Fusion Frames in Hilbert Spaces and Their Dual","authors":"Habib Shakoory, R. Ahmadi, N. Behzadi, S. Nami","doi":"10.30495/JME.V0I0.1476","DOIUrl":"https://doi.org/10.30495/JME.V0I0.1476","url":null,"abstract":"Controlled frames in Hilbert spaces have been introducedby Balazs, Antoine and Grybos to improve the numerical output of inrelation to algorithms for inverting the frame operator. In this paper,we introduce some new concepts and show results on controlled fusionframes for Hilbert spaces. It is shown that controlled fusion framesare a generalization of fusion frames giving a generalized way to obtainnumerical advantage in the sense of preconditioning to check the fusionframe condition. For this end, we introduce the notion of Q-duality forControlled fusion frames. Also, we survey the robustness of controlledfusion frames under some perturbations.","PeriodicalId":43745,"journal":{"name":"Journal of Mathematical Extension","volume":" ","pages":""},"PeriodicalIF":0.5,"publicationDate":"2020-09-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41714709","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
An extended element free Galerkin method based on moving kriging interpolation for second-order elliptic interface problems 二阶椭圆界面问题的一种基于移动kriging插值的扩展无元Galerkin方法
IF 0.5
Journal of Mathematical Extension Pub Date : 2020-08-12 DOI: 10.30495/JME.V0I0.1724
Ameneh Taleei
{"title":"An extended element free Galerkin method based on moving kriging interpolation for second-order elliptic interface problems","authors":"Ameneh Taleei","doi":"10.30495/JME.V0I0.1724","DOIUrl":"https://doi.org/10.30495/JME.V0I0.1724","url":null,"abstract":"The aim of this paper is to introduce an efficient meshless element free Galerkin technique for solving elliptic interface problems. In this work, the second-order elliptic equation with discontinuous coefficients and homogeneous and inhomogeneous jump conditions is considered. Moving kriging interpolation is chosen to construct shape functions in the proposed method. To apply the jump conditions in the weak form of the problem, Nitsche's method is used. Some examples are presented to confirm the effectiveness of the proposed method for interface problems.","PeriodicalId":43745,"journal":{"name":"Journal of Mathematical Extension","volume":" ","pages":""},"PeriodicalIF":0.5,"publicationDate":"2020-08-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44204866","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
Fixed point theorems in $C^{*}$-algebra-valued $b_{v}( s)$-metric spaces with application and numerical methods $C^{*}$-代数值$b_{v}(s)$-度量空间中的不动点定理及其应用和数值方法
IF 0.5
Journal of Mathematical Extension Pub Date : 2020-08-06 DOI: 10.30495/JME.V0I0.1436
Mohammad Hassan Saboori, M. Hassani, R. Allahyari, M. Mehrabinezhad
{"title":"Fixed point theorems in $C^{*}$-algebra-valued $b_{v}( s)$-metric spaces with application and numerical methods","authors":"Mohammad Hassan Saboori, M. Hassani, R. Allahyari, M. Mehrabinezhad","doi":"10.30495/JME.V0I0.1436","DOIUrl":"https://doi.org/10.30495/JME.V0I0.1436","url":null,"abstract":"‎We first introduce a novel notion named $C^{*}$-algebra-valued $b_{v}(s)$-metric spaces‎. ‎Then‎, ‎we give proofs of the Banach contraction principle‎, ‎the expansion mapping theorem‎, ‎and Jungck's theorem in $C^{*}$-algebra-valued $b_{v}(s)$-metric spaces‎. ‎As an application of our results‎, ‎we establish a result for an integral equation in a $C^{*}$-algebra-valued $b_{v}(s)$-metric space‎. ‎Finally‎, ‎a numerical method is presented to solve the proposed integral equation‎, ‎and the convergence of this method is also studied‎. ‎Moreover‎, ‎a numerical example is given to show applicability and accuracy of the numerical method and guarantee the theoretical results‎.","PeriodicalId":43745,"journal":{"name":"Journal of Mathematical Extension","volume":" ","pages":""},"PeriodicalIF":0.5,"publicationDate":"2020-08-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48038919","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
Inclusion and argument properties for a certain class of analytic functions based on fractional derivatives 一类基于分数导数的分析函数的包含性和自变量性质
IF 0.5
Journal of Mathematical Extension Pub Date : 2020-08-04 DOI: 10.30495/JME.V0I0.1316
M. Foroutan, M. Yasamian, A. Ebadian
{"title":"Inclusion and argument properties for a certain class of analytic functions based on fractional derivatives","authors":"M. Foroutan, M. Yasamian, A. Ebadian","doi":"10.30495/JME.V0I0.1316","DOIUrl":"https://doi.org/10.30495/JME.V0I0.1316","url":null,"abstract":"Making use of the operator $Omega^{lambda}f(z)$ based on fractional derivative which is introduced by Owa and Srivastava inthis paper the new operator $Q_{lambda}^{nu}$ is defined. Two subclasses of analytic functions in the open unit disk $cal U$ concerning with this operator are introduced. Some results such as inclusion relations, subordination properties, integral preserving properties and argument estimate are investigated.","PeriodicalId":43745,"journal":{"name":"Journal of Mathematical Extension","volume":" ","pages":""},"PeriodicalIF":0.5,"publicationDate":"2020-08-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49247048","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
Some cohomological properties of Banach algebras Banach代数的一些上同调性质
IF 0.5
Journal of Mathematical Extension Pub Date : 2020-07-22 DOI: 10.30495/JME.V0I0.1395
M. Shams, K. Azar
{"title":"Some cohomological properties of Banach algebras","authors":"M. Shams, K. Azar","doi":"10.30495/JME.V0I0.1395","DOIUrl":"https://doi.org/10.30495/JME.V0I0.1395","url":null,"abstract":"In this manuscript, we investigate and study some cohomological  properties of  Banach algebras. Let $A$ be a Banach algebra with left bounded approximate identity, and let  $B$ be a Banach $A-bimodule$.  We show that if $AB^{**}$ and $B^{**}A$ are subset of $B$, then  $H^1(A,B^{(2n+1)})=0$ for all $ngeq 0$, whenever $H^1(A,B^*)=0$.","PeriodicalId":43745,"journal":{"name":"Journal of Mathematical Extension","volume":" ","pages":""},"PeriodicalIF":0.5,"publicationDate":"2020-07-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46400379","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
PRIMARY SUBMODULES OVER A MULTIPLICATIVELY CLOSED SUBSET OF A COMMUTATIVE RING 交换环的乘闭子集上的初等子模
IF 0.5
Journal of Mathematical Extension Pub Date : 2020-07-22 DOI: 10.30495/JME.V0I0.1356
Nahid Ilaghi, M. Maani-Shirazi, S. Khoshdel
{"title":"PRIMARY SUBMODULES OVER A MULTIPLICATIVELY CLOSED SUBSET OF A COMMUTATIVE RING","authors":"Nahid Ilaghi, M. Maani-Shirazi, S. Khoshdel","doi":"10.30495/JME.V0I0.1356","DOIUrl":"https://doi.org/10.30495/JME.V0I0.1356","url":null,"abstract":"In this paper, we introduce the concept of primary submodules overS which is a generalization of the concept of S-prime submodules. Suppose S isa multiplicatively closed subset of a commutative ring R and let M be a unitalR-module. A proper submodule Q of M with (Q :R M) S = ; is called primaryover S if there is an s 2 S such that, for all a 2 R, m 2 M, am 2 Q implies thatsm 2 Q or san 2 (Q :R M), for some positive integer n. We get some new resultson primary submodules over S. Furtheremore, we compare the concept of primarysubmodules over S with primary ones. In particular, we show that a submoduleQ is primary over S if and only if (Q :M s) is primary, for some s 2 S.","PeriodicalId":43745,"journal":{"name":"Journal of Mathematical Extension","volume":" ","pages":""},"PeriodicalIF":0.5,"publicationDate":"2020-07-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49015937","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
SPATIAL BEHAVIOR OF SOLUTIONS FOR A CLASS OF HYPERBOLIC EQUATIONS WITH NONLINEAR DISSIPATIVE TERMS 一类非线性耗散项双曲型方程解的空间行为
IF 0.5
Journal of Mathematical Extension Pub Date : 2020-07-22 DOI: 10.30495/JME.V0I0.1453
A. Peyravi
{"title":"SPATIAL BEHAVIOR OF SOLUTIONS FOR A CLASS OF HYPERBOLIC EQUATIONS WITH NONLINEAR DISSIPATIVE TERMS","authors":"A. Peyravi","doi":"10.30495/JME.V0I0.1453","DOIUrl":"https://doi.org/10.30495/JME.V0I0.1453","url":null,"abstract":"This paper deals with the spatial behavior of solutions for aviscoelastic wave equations with nonlinear dissipative terms in asemi-infinite $n$-dimensional cylindrical domain. An alternativeof Phragm'{e}n-Lindel\"{o}f type theorems is obtained in theresult. In the case of decay, an upper bound will be derived forthe total energy by means of the boundary data. The main point ofthe contribution is the use of energy method.","PeriodicalId":43745,"journal":{"name":"Journal of Mathematical Extension","volume":" ","pages":""},"PeriodicalIF":0.5,"publicationDate":"2020-07-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42163641","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
Stabilized finite element method for the approximation of linearized viscoelastic fluid flow models 线性化粘弹性流体流动模型的稳定有限元逼近方法
IF 0.5
Journal of Mathematical Extension Pub Date : 2020-07-22 DOI: 10.30495/JME.V0I0.1375
S. Hussain, Z. Hussain, Sajid Hussain, V. Mishra
{"title":"Stabilized finite element method for the approximation of linearized viscoelastic fluid flow models","authors":"S. Hussain, Z. Hussain, Sajid Hussain, V. Mishra","doi":"10.30495/JME.V0I0.1375","DOIUrl":"https://doi.org/10.30495/JME.V0I0.1375","url":null,"abstract":"In this article, we present a stabilized finite element (FE) method for the linearized viscoelastic fluid flow. The FE spaces for the unknown variables are chosen as P 1 - P 0 - P 1, where the fluid velocity and the pressure are discretized by the lowest-order Lagrange elements and the stress tensor is discretized by piecewise P 1 polynomial. In order to get a stable scheme, we added a stabilization term. This method has some prominent features: parameter-free, avoiding calculation of higherorder derivatives and its behaviour towards pressure is totally local. We obtained optimal error estimates and presented several numerical experiments to verify the proposed scheme.","PeriodicalId":43745,"journal":{"name":"Journal of Mathematical Extension","volume":" ","pages":""},"PeriodicalIF":0.5,"publicationDate":"2020-07-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42220894","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
Interval Network Malmquist Productivity Index for Examining Productivity Changes of Insurance Companies under Data Uncertainty: A Case Study 基于区间网络Malmquist生产率指数的数据不确定性下保险公司生产率变化研究
IF 0.5
Journal of Mathematical Extension Pub Date : 2020-07-22 DOI: 10.30495/JME.V0I0.1503
F. S. Esmaeili, M. Rostamy-Malkhalifeh, F. Lotfi
{"title":"Interval Network Malmquist Productivity Index for Examining Productivity Changes of Insurance Companies under Data Uncertainty: A Case Study","authors":"F. S. Esmaeili, M. Rostamy-Malkhalifeh, F. Lotfi","doi":"10.30495/JME.V0I0.1503","DOIUrl":"https://doi.org/10.30495/JME.V0I0.1503","url":null,"abstract":"The insurance industry is one of the important financial institutions that has a significant place in the economic growth and development of the country. Given the industry's influential role in the financial markets, it is imperative to evaluate the performance and calculate changes in insurance companies' productivity over time. It is necessary to explain that the internal structure of insurance companies can be considered as a two-stage process involving marketing and investment. The purpose of the current study is to propose a novel approach to calculate the changes in insurance companies' productivity by considering their two-stage structure as well as the inherent uncertainties in the data. It should be noted that in order to propose of new interval network Malmquist Productivity Index, the network data envelopment analysis approach (NDEA), Malmquist productivity index (MPI), and interval programming are applied. The implementation of the proposed research approach is also evaluated using real data of 10 insurance companies in Iran. According to the obtained results, most of the companies have regressed from the first stage and marketing perspective, but in the second stage and from the investment perspective, the majority of companies have represented an acceptable improvement in their productivity.","PeriodicalId":43745,"journal":{"name":"Journal of Mathematical Extension","volume":" ","pages":""},"PeriodicalIF":0.5,"publicationDate":"2020-07-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48707636","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
Algebraic Frames and Duality 代数框架与对偶
IF 0.5
Journal of Mathematical Extension Pub Date : 2020-07-22 DOI: 10.30495/JME.V0I0.1516
Shahrzad Azadi, M. Radjabalipour
{"title":"Algebraic Frames and Duality","authors":"Shahrzad Azadi, M. Radjabalipour","doi":"10.30495/JME.V0I0.1516","DOIUrl":"https://doi.org/10.30495/JME.V0I0.1516","url":null,"abstract":"The theory of algebraic frames for a Hilbert space $H$ is a generalization of the theory of frames and generalized frames. The paper applies the theory of unbounded operators to define the dual of algebraic frames with densely defined unbounded analysis operators. It is shown that every algebraic frame has an algebraic dual frame, and if an algebraic frame has a nonzero redundancy, then it is not Riesz-type. An example of an algebraic frame with finite redundancy is constructed which is not a Riesz-type algebraic frame. Finally, for a lower bounded analytic frame, the discreteness of its indexing measure space and the uniqueness of its algebraic dual are studied and shown to be interrelated.","PeriodicalId":43745,"journal":{"name":"Journal of Mathematical Extension","volume":" ","pages":""},"PeriodicalIF":0.5,"publicationDate":"2020-07-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46555746","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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