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Acta et Commentationes Universitatis Tartuensis de Mathematica最新文献

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On Horadam finite operator hybrid numbers 论霍拉丹有限算子混合数
IF 0.3
Acta et Commentationes Universitatis Tartuensis de Mathematica Pub Date : 2023-12-01 DOI: 10.12697/acutm.2023.27.11
Tülay Yagmur
{"title":"On Horadam finite operator hybrid numbers","authors":"Tülay Yagmur","doi":"10.12697/acutm.2023.27.11","DOIUrl":"https://doi.org/10.12697/acutm.2023.27.11","url":null,"abstract":"In this paper, we introduce and study a new hybrid number sequence with Horadam numbers and a finite operator, called Horadam finite operator hybrid numbers. We derive recurrence relation, Binet-like formula, ordinary generating function, exponential generating function, Poisson generating function, and summation formula for Horadam finite operator hybrid numbers. Moreover, we give matrix representation and Cassini's identities for these numbers.","PeriodicalId":42426,"journal":{"name":"Acta et Commentationes Universitatis Tartuensis de Mathematica","volume":" 31","pages":""},"PeriodicalIF":0.3,"publicationDate":"2023-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138611440","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
Atoms of the lattices of residuated mappings 残差映射网格的原子
IF 0.3
Acta et Commentationes Universitatis Tartuensis de Mathematica Pub Date : 2023-12-01 DOI: 10.12697/acutm.2023.27.22
K. Kaarli, S´ándor Radeleczki
{"title":"Atoms of the lattices of residuated mappings","authors":"K. Kaarli, S´ándor Radeleczki","doi":"10.12697/acutm.2023.27.22","DOIUrl":"https://doi.org/10.12697/acutm.2023.27.22","url":null,"abstract":"Given a lattice L, we denote by Res(L) the lattice of all residuated maps on L. The main objective of the paper is to study the atoms of Res(L) where L is a complete lattice. Note that the description of dual atoms of Res(L) easily follows from earlier results of Shmuely (1974). We first consider lattices L for which all atoms of Res(L) are mappings with 2-element range and give a sufficient condition for this. Extending this result, we characterize these atoms of Res(L) which are weakly regular residuated maps in the sense of Blyth and Janowitz (Residuation Theory, 1972). In the rest of the paper we investigate the atoms of Res(M) where M is the lattice of a finite projective plane, in particular, we describe the atoms of Res(F), where F is the lattice of the Fano plane.","PeriodicalId":42426,"journal":{"name":"Acta et Commentationes Universitatis Tartuensis de Mathematica","volume":" 10","pages":""},"PeriodicalIF":0.3,"publicationDate":"2023-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138617201","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 generalized β-absolute convergence of single and multiple Fourier series 论单傅里叶级数和多傅里叶级数的广义β绝对收敛性
IF 0.3
Acta et Commentationes Universitatis Tartuensis de Mathematica Pub Date : 2023-12-01 DOI: 10.12697/acutm.2023.27.14
Kiran N. Darji
{"title":"On the generalized β-absolute convergence of single and multiple Fourier series","authors":"Kiran N. Darji","doi":"10.12697/acutm.2023.27.14","DOIUrl":"https://doi.org/10.12697/acutm.2023.27.14","url":null,"abstract":"In this paper, we provide sufficient conditions for the generalized β-absolute convergence of multiple Fourier series of a function of p-(Λ1, ... ,ΛN)-bounded variation. \u0000 ","PeriodicalId":42426,"journal":{"name":"Acta et Commentationes Universitatis Tartuensis de Mathematica","volume":" 10","pages":""},"PeriodicalIF":0.3,"publicationDate":"2023-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138618795","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 Generalization of mg-closed sets in Hereditary m-spaces 遗传 m 空间中 mg 闭集的广义化
IF 0.3
Acta et Commentationes Universitatis Tartuensis de Mathematica Pub Date : 2023-12-01 DOI: 10.12697/acutm.2023.27.12
Ahmad Al-Omari, T. Noiri
{"title":"A Generalization of mg-closed sets in Hereditary m-spaces","authors":"Ahmad Al-Omari, T. Noiri","doi":"10.12697/acutm.2023.27.12","DOIUrl":"https://doi.org/10.12697/acutm.2023.27.12","url":null,"abstract":"In this paper, we introduce the notion of mgH-closed sets in a hereditary m-space (X, m, H) and obtain a further generalization of mg-closed sets. We investigate basic properties, characterizations and preservation properties of mgH-closed sets.\u0000 ","PeriodicalId":42426,"journal":{"name":"Acta et Commentationes Universitatis Tartuensis de Mathematica","volume":" 10","pages":""},"PeriodicalIF":0.3,"publicationDate":"2023-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138619470","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
Second cohomology group and quadratic extensions of metric Hom-Jacobi–Jordan algebras 度量 Hom-Jacobi-Jordan 代数的第二同调群和二次扩展
IF 0.3
Acta et Commentationes Universitatis Tartuensis de Mathematica Pub Date : 2023-12-01 DOI: 10.12697/acutm.2023.27.19
N. Saadaoui
{"title":"Second cohomology group and quadratic extensions of metric Hom-Jacobi–Jordan algebras","authors":"N. Saadaoui","doi":"10.12697/acutm.2023.27.19","DOIUrl":"https://doi.org/10.12697/acutm.2023.27.19","url":null,"abstract":"In this paper, we introduce and study the low dimensional cohomology of metric Hom-Jacobi–Jordan algebras. We establish one-to-one correspondence between the equivalence classes of abelian quadraticextensions of a Hom-Jacobi–Jordan algebra and its second cohomology group.","PeriodicalId":42426,"journal":{"name":"Acta et Commentationes Universitatis Tartuensis de Mathematica","volume":" 3","pages":""},"PeriodicalIF":0.3,"publicationDate":"2023-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138615252","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
Character amenability of vector-valued algebras 矢量值代数的特性可亲性
IF 0.3
Acta et Commentationes Universitatis Tartuensis de Mathematica Pub Date : 2023-12-01 DOI: 10.12697/acutm.2023.27.18
David Robbns, Terje Hill
{"title":"Character amenability of vector-valued algebras","authors":"David Robbns, Terje Hill","doi":"10.12697/acutm.2023.27.18","DOIUrl":"https://doi.org/10.12697/acutm.2023.27.18","url":null,"abstract":"Let {Ax : x ∈ X} be a collection of complex Banach algebras  indexed by the compact Hausdorff space X. We investigate the character amenability of certain algebras of Ax-valued functions in relation to the character amenability of the Ax.\u0000 ","PeriodicalId":42426,"journal":{"name":"Acta et Commentationes Universitatis Tartuensis de Mathematica","volume":" 6","pages":""},"PeriodicalIF":0.3,"publicationDate":"2023-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138617388","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
Bialgebras, the Yang–Baxter equation and Manin triples for mock-Lie algebras 模拟李代数的比亚尔布拉、杨-巴克斯特方程和马宁三元组
IF 0.3
Acta et Commentationes Universitatis Tartuensis de Mathematica Pub Date : 2023-12-01 DOI: 10.12697/acutm.2023.27.16
Taoufik Chtioui, Karima Benali, A. Hajjaji, S. Mabrouk
{"title":"Bialgebras, the Yang–Baxter equation and Manin triples for mock-Lie algebras","authors":"Taoufik Chtioui, Karima Benali, A. Hajjaji, S. Mabrouk","doi":"10.12697/acutm.2023.27.16","DOIUrl":"https://doi.org/10.12697/acutm.2023.27.16","url":null,"abstract":"The aim of this paper is to introduce the notion of a mock-Lie bialgebra which is equivalent to a Manin triple of mock-Lie algebras. The study of a special case called coboundary mock-Lie bialgebra leads to introducing the mock-Lie Yang–Baxter equation on a mock-Lie algebra which is an analogue of the classical Yang–Baxter equation on a Lie algebra. Note that a skew-symmetric solution of mock-Lie Yang–Baxter equation gives a mock-Lie bialgebra. Finally, O-operators are studied to construct a skew-symmetric solution of a mock-Lie Yang–Baxter equation.","PeriodicalId":42426,"journal":{"name":"Acta et Commentationes Universitatis Tartuensis de Mathematica","volume":" 9","pages":""},"PeriodicalIF":0.3,"publicationDate":"2023-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138618913","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
Narayana numbers as products of three repdigits in base g 以 g 为基数的纳拉亚纳数作为三个重数的乘积
IF 0.3
Acta et Commentationes Universitatis Tartuensis de Mathematica Pub Date : 2023-12-01 DOI: 10.12697/acutm.2023.27.21
P. Tiebekabe, K. R. Kakanou, Hamid Ben Yakkou
{"title":"Narayana numbers as products of three repdigits in base g","authors":"P. Tiebekabe, K. R. Kakanou, Hamid Ben Yakkou","doi":"10.12697/acutm.2023.27.21","DOIUrl":"https://doi.org/10.12697/acutm.2023.27.21","url":null,"abstract":"In this paper, we show that there are only finitely many Narayana's numbers which can be written as a product of three repdigits in base g with g >= 2. Moreover, for 2 <= g <= 10, we determine all these numbers.\u0000 \u0000 ","PeriodicalId":42426,"journal":{"name":"Acta et Commentationes Universitatis Tartuensis de Mathematica","volume":" 14","pages":""},"PeriodicalIF":0.3,"publicationDate":"2023-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138620503","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 sharp bound of the third Hankel determinant of the kth-root transformation for bounded turning functions 有界转折函数第 k 次根式变换的第三个汉克尔行列式的锐界
IF 0.3
Acta et Commentationes Universitatis Tartuensis de Mathematica Pub Date : 2023-12-01 DOI: 10.12697/acutm.2023.27.15
H. Srivastava, Biswajit Rath, Sanjay Kumar Karri, V. D.
{"title":"The sharp bound of the third Hankel determinant of the kth-root transformation for bounded turning functions","authors":"H. Srivastava, Biswajit Rath, Sanjay Kumar Karri, V. D.","doi":"10.12697/acutm.2023.27.15","DOIUrl":"https://doi.org/10.12697/acutm.2023.27.15","url":null,"abstract":"The objective of this paper is to estimate the sharp bound of the third Hankel determinant for the kth-root transformation to the class of functions whose derivative has a positive real part satisfying the normalized conditions f(0) = 0 and f′(0) = 1 in the open unit disk D := {z ∈ C : |z| < 1}.","PeriodicalId":42426,"journal":{"name":"Acta et Commentationes Universitatis Tartuensis de Mathematica","volume":" 41","pages":""},"PeriodicalIF":0.3,"publicationDate":"2023-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138611741","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
Examination of generalized Tribonacci dual quaternions 对广义 Tribonacci 对偶四元数的研究
IF 0.3
Acta et Commentationes Universitatis Tartuensis de Mathematica Pub Date : 2023-12-01 DOI: 10.12697/acutm.2023.27.17
Zehra İşbilir, N. Gürses
{"title":"Examination of generalized Tribonacci dual quaternions","authors":"Zehra İşbilir, N. Gürses","doi":"10.12697/acutm.2023.27.17","DOIUrl":"https://doi.org/10.12697/acutm.2023.27.17","url":null,"abstract":"This manuscript deals with introducing and discussing of a new type dual quaternions which are named generalized Tribonacci dual quaternions (GTDQ, for short). For this purpose, several new properties, such as Binet formula, generating function, exponential generating function, matrix formula, and determinant equations, are established. In addition to these, some numerical algorithms are constructed. In the last part, some special cases of the family of the GTDQ are examined regarding r, s, t values and initial values considering concluded results.","PeriodicalId":42426,"journal":{"name":"Acta et Commentationes Universitatis Tartuensis de Mathematica","volume":"37 4","pages":""},"PeriodicalIF":0.3,"publicationDate":"2023-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138623689","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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