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Acta et Commentationes Universitatis Tartuensis de Mathematica最新文献

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On the Fibonacci quaternion sequence with quadruple-produce components 关于具有四元产生分量的斐波那契四元数序列
IF 0.3
Acta et Commentationes Universitatis Tartuensis de Mathematica Pub Date : 2021-06-21 DOI: 10.12697/acutm.2021.25.11
Orhan Dişkaya, H. Menken
{"title":"On the Fibonacci quaternion sequence with quadruple-produce components","authors":"Orhan Dişkaya, H. Menken","doi":"10.12697/acutm.2021.25.11","DOIUrl":"https://doi.org/10.12697/acutm.2021.25.11","url":null,"abstract":"This paper examines the Fibonacci quaternion sequence with quadruple-produce components, and demonstrates a golden-like ratio and some identities for this sequence. Its generating and exponential generating functions are given. Along with these, its series and binomial sum formula are established.","PeriodicalId":42426,"journal":{"name":"Acta et Commentationes Universitatis Tartuensis de Mathematica","volume":"2 1","pages":""},"PeriodicalIF":0.3,"publicationDate":"2021-06-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"88011789","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
Corollaries and multiple extensions of Gessel and Stanton hypergeometric summation formulas Gessel和Stanton超几何求和公式的推论和多重推广
IF 0.3
Acta et Commentationes Universitatis Tartuensis de Mathematica Pub Date : 2021-06-21 DOI: 10.12697/acutm.2021.25.02
T. Ernst, P. W. Karlsson
{"title":"Corollaries and multiple extensions of Gessel and Stanton hypergeometric summation formulas","authors":"T. Ernst, P. W. Karlsson","doi":"10.12697/acutm.2021.25.02","DOIUrl":"https://doi.org/10.12697/acutm.2021.25.02","url":null,"abstract":"We find some new simple hypergeometric formulas in the footsteps of the important article by Gessel and Stanton. These are multiple reduction formulas, multiple summation formulas, as well as multiple transformation formulas for special Kampé de Fériet functions and Appell functions. The hypergeometric summation formulas have special function arguments in Q and parameter values in N or C. The proofs use Pfaff-Kummer transformation, Euler transformation, or an improved form of Slater reversion.","PeriodicalId":42426,"journal":{"name":"Acta et Commentationes Universitatis Tartuensis de Mathematica","volume":"41 1","pages":""},"PeriodicalIF":0.3,"publicationDate":"2021-06-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"88374275","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 generalized fractional integral inequalities of Ostrowski type 关于Ostrowski型的广义分数阶积分不等式
IF 0.3
Acta et Commentationes Universitatis Tartuensis de Mathematica Pub Date : 2021-06-21 DOI: 10.12697/acutm.2021.25.09
H. Yildirim, Seda Kilinç Yildirim
{"title":"On generalized fractional integral inequalities of Ostrowski type","authors":"H. Yildirim, Seda Kilinç Yildirim","doi":"10.12697/acutm.2021.25.09","DOIUrl":"https://doi.org/10.12697/acutm.2021.25.09","url":null,"abstract":"We obtain new generalizations of Ostrowski inequality by using generalized Riemann{Liouville fractional integrals. Some special cases are also discussed.","PeriodicalId":42426,"journal":{"name":"Acta et Commentationes Universitatis Tartuensis de Mathematica","volume":"21 1","pages":""},"PeriodicalIF":0.3,"publicationDate":"2021-06-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"80352281","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
Thue's equation as a tool to solve two different problems 用方程来解决两个不同的问题
IF 0.3
Acta et Commentationes Universitatis Tartuensis de Mathematica Pub Date : 2021-06-21 DOI: 10.12697/acutm.2021.25.10
S. Bouroubi, Ali Debbache
{"title":"Thue's equation as a tool to solve two different problems","authors":"S. Bouroubi, Ali Debbache","doi":"10.12697/acutm.2021.25.10","DOIUrl":"https://doi.org/10.12697/acutm.2021.25.10","url":null,"abstract":"A Thue equation is a Diophantine equation of the form f(x; y) = r, where f is an irreducible binary form of degree at least 3, and r is a given nonzero rational number. A set S of at least three positive integers is called a D13-set if the product of any of its three distinct elements is a perfect cube minus one. We prove that any D13-set is finite and, for any positive integer a, the two-tuple {a, 2a} is extendible to a D13-set 3-tuple, but not to a 4-tuple. Using the well-known Thue equation 2x3 - y3 = 1, we show that the only cubic-triangular number is 1.","PeriodicalId":42426,"journal":{"name":"Acta et Commentationes Universitatis Tartuensis de Mathematica","volume":"11 1","pages":""},"PeriodicalIF":0.3,"publicationDate":"2021-06-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"82221232","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
Module bundles and module amenability 模块包和模块兼容性
IF 0.3
Acta et Commentationes Universitatis Tartuensis de Mathematica Pub Date : 2021-06-21 DOI: 10.12697/acutm.2021.25.08
Terje Hill, D. Robbins
{"title":"Module bundles and module amenability","authors":"Terje Hill, D. Robbins","doi":"10.12697/acutm.2021.25.08","DOIUrl":"https://doi.org/10.12697/acutm.2021.25.08","url":null,"abstract":"Let X be a compact Hausdorff space, and let {Ax : x ∈ X} and {Bx : x ∈ X} be collections of Banach algebras such that each Ax is a Bx-bimodule. Using the theory of bundles of Banach spaces as a tool, we investigate the module amenability of certain algebras of Ax-valued functions on X over algebras of Bx-valued functions on X.","PeriodicalId":42426,"journal":{"name":"Acta et Commentationes Universitatis Tartuensis de Mathematica","volume":"17 1","pages":""},"PeriodicalIF":0.3,"publicationDate":"2021-06-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"72744355","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 degree of approximation of continuous functions by a specific transform of partial sums of their Fourier series 用傅里叶级数的部分和的特定变换逼近连续函数的程度
IF 0.3
Acta et Commentationes Universitatis Tartuensis de Mathematica Pub Date : 2021-01-01 DOI: 10.12697/acutm.2021.25.01
X. Krasniqi
{"title":"On the degree of approximation of continuous functions by a specific transform of partial sums of their Fourier series","authors":"X. Krasniqi","doi":"10.12697/acutm.2021.25.01","DOIUrl":"https://doi.org/10.12697/acutm.2021.25.01","url":null,"abstract":"Using the Mean Rest Bounded Variation Sequences or the Mean Head Bounded Variation Sequences, we have proved four theorems pertaining to the degree of approximation in sup-norm of a continuous function f by general means τλn;A(f) of partial sums of its Fourier series. The degree of approximation is expressed via an auxiliary function H(t) ≥ 0 and via entries of a matrix whose indices form a strictly increasing sequence of positive integers λ := {λ(n)}∞n=1.","PeriodicalId":42426,"journal":{"name":"Acta et Commentationes Universitatis Tartuensis de Mathematica","volume":"15 1","pages":""},"PeriodicalIF":0.3,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"83331061","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
Continuous functions between sets with operations 具有运算的集合之间的连续函数
IF 0.3
Acta et Commentationes Universitatis Tartuensis de Mathematica Pub Date : 2020-12-31 DOI: 10.12697/ACUTM.2020.24.15
Fumie Nakaoka, Nobuyuki Oda
{"title":"Continuous functions between sets with operations","authors":"Fumie Nakaoka, Nobuyuki Oda","doi":"10.12697/ACUTM.2020.24.15","DOIUrl":"https://doi.org/10.12697/ACUTM.2020.24.15","url":null,"abstract":"A set with an operation is a generalization of a topological space. Two types of continuous functions are dened between sets with operations. They are characterized making use of two types of closures and interiors. Homeomorphisms between sets with operations are also characterized. Variants of subspaces, connected spaces and compact spaces are introduced in a set with an operation and some fundamental properties of them are proved.","PeriodicalId":42426,"journal":{"name":"Acta et Commentationes Universitatis Tartuensis de Mathematica","volume":"176 1","pages":""},"PeriodicalIF":0.3,"publicationDate":"2020-12-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"79823539","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 some Hölder type trace inequalities for operator weighted geometric mean 算子加权几何平均的一些Hölder型迹不等式
IF 0.3
Acta et Commentationes Universitatis Tartuensis de Mathematica Pub Date : 2020-12-31 DOI: 10.12697/ACUTM.2020.24.18
S. Dragomir
{"title":"On some Hölder type trace inequalities for operator weighted geometric mean","authors":"S. Dragomir","doi":"10.12697/ACUTM.2020.24.18","DOIUrl":"https://doi.org/10.12697/ACUTM.2020.24.18","url":null,"abstract":"We obtain some Hölder type trace inequalities for operator weighted geometric mean. Some vector inequalities are also given.","PeriodicalId":42426,"journal":{"name":"Acta et Commentationes Universitatis Tartuensis de Mathematica","volume":"66 1","pages":""},"PeriodicalIF":0.3,"publicationDate":"2020-12-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"85779921","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
On the controllability of Hilfer-Katugampola fractional differential equations Hilfer-Katugampola分数阶微分方程的可控性
IF 0.3
Acta et Commentationes Universitatis Tartuensis de Mathematica Pub Date : 2020-12-31 DOI: 10.12697/ACUTM.2020.24.13
M. Abbas
{"title":"On the controllability of Hilfer-Katugampola fractional differential equations","authors":"M. Abbas","doi":"10.12697/ACUTM.2020.24.13","DOIUrl":"https://doi.org/10.12697/ACUTM.2020.24.13","url":null,"abstract":"By employing Kuratowski's measure of noncompactness together with Sadovskii's fixed point theorem, sufficient conditions for controllability results of Hilfer-Katugampola fractional differential equations in Banach spaces are derived.","PeriodicalId":42426,"journal":{"name":"Acta et Commentationes Universitatis Tartuensis de Mathematica","volume":"39 1","pages":""},"PeriodicalIF":0.3,"publicationDate":"2020-12-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"75843592","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
Fejér type integral inequalities related with geometrically-arithmetically convex functions with applications 与几何-算术凸函数相关的fej<s:1>型积分不等式及其应用
IF 0.3
Acta et Commentationes Universitatis Tartuensis de Mathematica Pub Date : 2019-08-09 DOI: 10.12697/ACUTM.2019.23.05
S. Dragomir, M. Latif, E. Momoniat
{"title":"Fejér type integral inequalities related with geometrically-arithmetically convex functions with applications","authors":"S. Dragomir, M. Latif, E. Momoniat","doi":"10.12697/ACUTM.2019.23.05","DOIUrl":"https://doi.org/10.12697/ACUTM.2019.23.05","url":null,"abstract":"A new identity involving a geometrically symmetric function and a differentiable function is established. Some new Fejér type integral inequalities, connected with the left part of Hermite–Hadamard type inequalities for geometrically-arithmetically convex functions, are presented by using the Hölder integral inequality and the notion of geometrically-arithmetically convexity. Applications of our results to special means of positive real numbers are given.","PeriodicalId":42426,"journal":{"name":"Acta et Commentationes Universitatis Tartuensis de Mathematica","volume":"352 1","pages":""},"PeriodicalIF":0.3,"publicationDate":"2019-08-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"76584383","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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