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Annales Mathematicae Silesianae最新文献

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Closure Operations on Intuitionistic Linear Algebras 直观线性代数的闭包运算
Annales Mathematicae Silesianae Pub Date : 2024-03-20 DOI: 10.2478/amsil-2024-0007
Y.L. Tenkeu Jeufack, E.R. Alomo Temgoua, O. Heubo-Kwegna
{"title":"Closure Operations on Intuitionistic Linear Algebras","authors":"Y.L. Tenkeu Jeufack, E.R. Alomo Temgoua, O. Heubo-Kwegna","doi":"10.2478/amsil-2024-0007","DOIUrl":"https://doi.org/10.2478/amsil-2024-0007","url":null,"abstract":"\u0000 In this paper, we introduce the notions of radical filters and extended filters of Intuitionistic Linear algebras (IL-algebras for short) and give some of their properties. The notion of closure operation on an IL-algebra is also introduced as well as the study of some of their main properties. The radical of filters and extended filters are examples of closure operations among several others provided. The class of stable closure operations on an IL-algebra L is used to study the unifying properties of some subclasses of the lattice of filters of L. In particular, we obtain that for a stable closure operation c on an IL-algebra, the collection of c-closed elements of its lattice of filters forms a complete Heyting algebra. Hyperarchimedean IL-algebras are also characterized using closure operations. It is shown that the image of a semi-prime closure operation on an IL-algebra is isomorphic to a quotient IL-algebra. Some properties of the quotients induced by closure operations on an IL-algebra are explored.","PeriodicalId":502615,"journal":{"name":"Annales Mathematicae Silesianae","volume":"9 21","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-03-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140225401","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 Functions with Monotonic Differences 论具有单调差的函数
Annales Mathematicae Silesianae Pub Date : 2024-03-20 DOI: 10.2478/amsil-2024-0009
T. Rajba
{"title":"On Functions with Monotonic Differences","authors":"T. Rajba","doi":"10.2478/amsil-2024-0009","DOIUrl":"https://doi.org/10.2478/amsil-2024-0009","url":null,"abstract":"\u0000 Motivated by the Szostok problem on functions with monotonic differences (2005, 2007), we consider a-Wright convex functions as a generalization of Wright convex functions. An application of these results to obtain new proofs of known results as well as new results is presented.","PeriodicalId":502615,"journal":{"name":"Annales Mathematicae Silesianae","volume":"45 4","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-03-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140224767","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 a Certain Polish Mathematician: A Brief Summary of Scientific Research and Achievements of Kazimierz Nikodem, Professor of Mathematics 关于某位波兰数学家：数学教授卡齐米日-尼科杰姆科研成果简介
Annales Mathematicae Silesianae Pub Date : 2024-03-20 DOI: 10.2478/amsil-2024-0005
Mirosław Adamek
{"title":"On a Certain Polish Mathematician: A Brief Summary of Scientific Research and Achievements of Kazimierz Nikodem, Professor of Mathematics","authors":"Mirosław Adamek","doi":"10.2478/amsil-2024-0005","DOIUrl":"https://doi.org/10.2478/amsil-2024-0005","url":null,"abstract":"","PeriodicalId":502615,"journal":{"name":"Annales Mathematicae Silesianae","volume":"5 3","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-03-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140225650","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
Speed of Light or Composition of Velocities 光速或速度的构成
Annales Mathematicae Silesianae Pub Date : 2024-03-20 DOI: 10.2478/amsil-2024-0008
Maciej Sablik
{"title":"Speed of Light or Composition of Velocities","authors":"Maciej Sablik","doi":"10.2478/amsil-2024-0008","DOIUrl":"https://doi.org/10.2478/amsil-2024-0008","url":null,"abstract":"\u0000 We analyze in our paper questions of the theory of relativity. We approach this theory from the point of view of velocities and their composition. This is where the functional equations appear. Solving them leads to a world where velocities are bounded from above, the upper bound being exactly the “speed of light”.","PeriodicalId":502615,"journal":{"name":"Annales Mathematicae Silesianae","volume":"19 5","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-03-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140226133","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
Steklov Type Operators and Functional Equations 斯特克洛夫型算子和函数方程
Annales Mathematicae Silesianae Pub Date : 2024-02-15 DOI: 10.2478/amsil-2024-0006
Gabriela Motronea, D. Popa, I. Raşa
{"title":"Steklov Type Operators and Functional Equations","authors":"Gabriela Motronea, D. Popa, I. Raşa","doi":"10.2478/amsil-2024-0006","DOIUrl":"https://doi.org/10.2478/amsil-2024-0006","url":null,"abstract":"\u0000 We consider sequences of Steklov type operators and an associated functional equation. For a suitable sequence, we establish asymptotic formulas.","PeriodicalId":502615,"journal":{"name":"Annales Mathematicae Silesianae","volume":"17 5","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-02-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139776362","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
Steklov Type Operators and Functional Equations 斯特克洛夫型算子和函数方程
Annales Mathematicae Silesianae Pub Date : 2024-02-15 DOI: 10.2478/amsil-2024-0006
Gabriela Motronea, D. Popa, I. Raşa
{"title":"Steklov Type Operators and Functional Equations","authors":"Gabriela Motronea, D. Popa, I. Raşa","doi":"10.2478/amsil-2024-0006","DOIUrl":"https://doi.org/10.2478/amsil-2024-0006","url":null,"abstract":"\u0000 We consider sequences of Steklov type operators and an associated functional equation. For a suitable sequence, we establish asymptotic formulas.","PeriodicalId":502615,"journal":{"name":"Annales Mathematicae Silesianae","volume":"217 ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-02-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139835841","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 Resolvent of Impulsive Singular Hahn–Sturm–Liouville Operators 脉冲奇异哈恩-斯特姆-利乌维尔算子的残差
Annales Mathematicae Silesianae Pub Date : 2024-01-18 DOI: 10.2478/amsil-2024-0001
B. Allahverdiev, H. Tuna, Hamlet A. Isayev
{"title":"The Resolvent of Impulsive Singular Hahn–Sturm–Liouville Operators","authors":"B. Allahverdiev, H. Tuna, Hamlet A. Isayev","doi":"10.2478/amsil-2024-0001","DOIUrl":"https://doi.org/10.2478/amsil-2024-0001","url":null,"abstract":"\u0000 In this study, the resolvent of the impulsive singular Hahn–Sturm– Liouville operator is considered. An integral representation for the resolvent of this operator is obtained.","PeriodicalId":502615,"journal":{"name":"Annales Mathematicae Silesianae","volume":"119 26","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-01-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139615206","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
Bidimensional Extensions of Cobalancing and Lucas-Cobalancing Numbers 平衡数和卢卡斯-平衡数的二维扩展
Annales Mathematicae Silesianae Pub Date : 2023-11-29 DOI: 10.2478/amsil-2023-0022
J. Chimpanzo, M.V. Otero-Espinar, A. Borges, P. Vasco, P. Catarino
{"title":"Bidimensional Extensions of Cobalancing and Lucas-Cobalancing Numbers","authors":"J. Chimpanzo, M.V. Otero-Espinar, A. Borges, P. Vasco, P. Catarino","doi":"10.2478/amsil-2023-0022","DOIUrl":"https://doi.org/10.2478/amsil-2023-0022","url":null,"abstract":"Abstract A new bidimensional version of cobalancing numbers and Lucas-balancing numbers are introduced. Some properties and identities satisfied by these new bidimensional sequences are studied.","PeriodicalId":502615,"journal":{"name":"Annales Mathematicae Silesianae","volume":"15 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-11-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139211948","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 Transcendental Entire Solution of Fermat-Type Trinomial and Binomial Equations Under Restricted Hyper-Order 论限制超阶下费马型三项式和二项式方程的超越全解
Annales Mathematicae Silesianae Pub Date : 2023-11-22 DOI: 10.2478/amsil-2023-0018
Abhijit Banerjee, Jhuma Sarkar
{"title":"On Transcendental Entire Solution of Fermat-Type Trinomial and Binomial Equations Under Restricted Hyper-Order","authors":"Abhijit Banerjee, Jhuma Sarkar","doi":"10.2478/amsil-2023-0018","DOIUrl":"https://doi.org/10.2478/amsil-2023-0018","url":null,"abstract":"Abstract In this paper we are focusing on finding the transcendental entire solution of Fermat-type trinomial and binomial equations, by restricting the hyper-order to be less than one. As the hyper-order is a crucial parameter that characterizes the growth of entire functions, it will be interesting to investigate this unexplored domain, as far as practible, with certain restriction on hyper order. Our results are the improvements of previous results reported in recent papers [12], [13]. We have provided a series of examples to demonstrate and validate the effectiveness of our proposed solutions.","PeriodicalId":502615,"journal":{"name":"Annales Mathematicae Silesianae","volume":"12 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-11-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139250434","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
Strongly MφMψ -Convex Functions, The Hermite–Hadamard–Fejér Inequality and Related Results 强 MφMψ -凸函数、赫米特-哈达马尔-费杰尔不等式及相关结果
Annales Mathematicae Silesianae Pub Date : 2023-11-22 DOI: 10.2478/amsil-2023-0019
M. Bombardelli, S. Varošanec
{"title":"Strongly MφMψ -Convex Functions, The Hermite–Hadamard–Fejér Inequality and Related Results","authors":"M. Bombardelli, S. Varošanec","doi":"10.2478/amsil-2023-0019","DOIUrl":"https://doi.org/10.2478/amsil-2023-0019","url":null,"abstract":"Abstract We present Hermite–Hadamard–Fejér type inequalities for strongly MφMψ -convex functions. Some refinements of them and bounds for the integral mean of the product of two functions are also obtained.","PeriodicalId":502615,"journal":{"name":"Annales Mathematicae Silesianae","volume":"49 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-11-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139248722","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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