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Annales Mathematicae Silesianae最新文献

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Report of Meeting: The Twenty-second Debrecen–Katowice Winter Seminar on Functional Equations and Inequalities Hajdúszoboszló (Hungary), February 1–4, 2023 第22届德布勒森-卡托维兹泛函方程与不等式冬季研讨会Hajdúszoboszló(匈牙利)，2023年2月1-4日
Annales Mathematicae Silesianae Pub Date : 2023-05-30 DOI: 10.2478/amsil-2023-0006
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引用次数: 0
Sugeno Integral for Hermite–Hadamard Inequality and Quasi-Arithmetic Means Hermite–Hadamard不等式的Sugeno积分与拟算术平均
IF 0.4
Annales Mathematicae Silesianae Pub Date : 2023-05-30 DOI: 10.2478/amsil-2023-0007
Timothy Nadhomi
{"title":"Sugeno Integral for Hermite–Hadamard Inequality and Quasi-Arithmetic Means","authors":"Timothy Nadhomi","doi":"10.2478/amsil-2023-0007","DOIUrl":"https://doi.org/10.2478/amsil-2023-0007","url":null,"abstract":"Abstract In this paper, we present the Sugeno integral of Hermite–Hadamard inequality for the case of quasi-arithmetically convex (q-ac) functions which acts as a generator for all quasi-arithmetic means in the frame work of Sugeno integral.","PeriodicalId":52359,"journal":{"name":"Annales Mathematicae Silesianae","volume":" ","pages":""},"PeriodicalIF":0.4,"publicationDate":"2023-05-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41943477","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
One-Parameter Generalization of Dual-Hyperbolic Jacobsthal Numbers 对偶双曲Jacobthal数的一参数推广
IF 0.4
Annales Mathematicae Silesianae Pub Date : 2023-04-02 DOI: 10.2478/amsil-2023-0005
D. Bród, A. Szynal-Liana, I. Włoch
{"title":"One-Parameter Generalization of Dual-Hyperbolic Jacobsthal Numbers","authors":"D. Bród, A. Szynal-Liana, I. Włoch","doi":"10.2478/amsil-2023-0005","DOIUrl":"https://doi.org/10.2478/amsil-2023-0005","url":null,"abstract":"Abstract In this paper, we introduce one-parameter generalization of dual-hyperbolic Jacobsthal numbers – dual-hyperbolic r-Jacobsthal numbers. We present some properties of them, among others the Binet formula, Catalan, Cassini, and d’Ocagne identities. Moreover, we give the generating function and summation formula for these numbers. The presented results are a generalization of the results for the dual-hyperbolic Jacobsthal numbers.","PeriodicalId":52359,"journal":{"name":"Annales Mathematicae Silesianae","volume":" ","pages":""},"PeriodicalIF":0.4,"publicationDate":"2023-04-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44819463","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 Generalization of Gaussians and Leonardo’s Octonions 高斯和列奥纳多八元数的推广
IF 0.4
Annales Mathematicae Silesianae Pub Date : 2023-02-27 DOI: 10.2478/amsil-2023-0004
R. Vieira, Milena Carolina dos Santos Mangueira, F. R. Alves, P. Catarino
{"title":"The Generalization of Gaussians and Leonardo’s Octonions","authors":"R. Vieira, Milena Carolina dos Santos Mangueira, F. R. Alves, P. Catarino","doi":"10.2478/amsil-2023-0004","DOIUrl":"https://doi.org/10.2478/amsil-2023-0004","url":null,"abstract":"Abstract In order to explore the Leonardo sequence, the process of complex-ification of this sequence is carried out in this work. With this, the Gaussian and octonion numbers of the Leonardo sequence are presented. Also, the recurrence, generating function, Binet’s formula, and matrix form of Leonardo’s Gaussian and octonion numbers are defined. The development of the Gaussian numbers is performed from the insertion of the imaginary component i in the one-dimensional recurrence of the sequence. Regarding the octonions, the terms of the Leonardo sequence are presented in eight dimensions. Furthermore, the generalizations and inherent properties of Leonardo’s Gaussians and octonions are presented.","PeriodicalId":52359,"journal":{"name":"Annales Mathematicae Silesianae","volume":"37 1","pages":"117 - 137"},"PeriodicalIF":0.4,"publicationDate":"2023-02-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48309737","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
Logarithmic Barrier Method Via Minorant Function for Linear Semidefinite Programming 基于小函数的对数屏障法求解线性半定规划
IF 0.4
Annales Mathematicae Silesianae Pub Date : 2023-02-07 DOI: 10.2478/amsil-2022-0021
A. Leulmi
{"title":"Logarithmic Barrier Method Via Minorant Function for Linear Semidefinite Programming","authors":"A. Leulmi","doi":"10.2478/amsil-2022-0021","DOIUrl":"https://doi.org/10.2478/amsil-2022-0021","url":null,"abstract":"Abstract We propose in this study, a new logarithmic barrier approach to solve linear semidefinite programming problem. We are interested in computation of the direction by Newton’s method and of the displacement step using minorant functions instead of line search methods in order to reduce the computation cost. Our new approach is even more beneficial than classical line search methods. This purpose is confirmed by some numerical simulations showing the e˙ectiveness of the algorithm developed in this work, which are presented in the last section of this paper.","PeriodicalId":52359,"journal":{"name":"Annales Mathematicae Silesianae","volume":"37 1","pages":"95 - 116"},"PeriodicalIF":0.4,"publicationDate":"2023-02-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42906077","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
Strong m-Convexity of Set-Valued Functions 集值函数的强m-凸性
IF 0.4
Annales Mathematicae Silesianae Pub Date : 2023-02-07 DOI: 10.2478/amsil-2023-0003
Teodoro Lara, N. Merentes, Roy Quintero, E. Rosales
{"title":"Strong m-Convexity of Set-Valued Functions","authors":"Teodoro Lara, N. Merentes, Roy Quintero, E. Rosales","doi":"10.2478/amsil-2023-0003","DOIUrl":"https://doi.org/10.2478/amsil-2023-0003","url":null,"abstract":"Abstract In this research we introduce the concept of strong m-convexity for set-valued functions defined on m-convex subsets of real linear normed spaces, a variety of properties and examples of these functions are shown, an inclusion of Jensen type is also exhibited.","PeriodicalId":52359,"journal":{"name":"Annales Mathematicae Silesianae","volume":"37 1","pages":"82 - 94"},"PeriodicalIF":0.4,"publicationDate":"2023-02-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48927093","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 r-Jacobsthal and r-Jacobsthal-Lucas Numbers 关于r-Jacobsthal和r-Jacobsthal- lucas数
IF 0.4
Annales Mathematicae Silesianae Pub Date : 2023-02-07 DOI: 10.2478/amsil-2023-0001
Göksal Bilgici, D. Bród
{"title":"On r-Jacobsthal and r-Jacobsthal-Lucas Numbers","authors":"Göksal Bilgici, D. Bród","doi":"10.2478/amsil-2023-0001","DOIUrl":"https://doi.org/10.2478/amsil-2023-0001","url":null,"abstract":"Abstract Recently, Bród introduced a new Jacobsthal-type sequence which is called r-Jacobsthal sequence in current study. After defining the appropriate r-Jacobsthal–Lucas sequence for the r-Jacobsthal sequence, we obtain some properties of these two sequences. For simpler results, we define two new sequences and examine their properties, too. Finally, we generalize some well-known identities.","PeriodicalId":52359,"journal":{"name":"Annales Mathematicae Silesianae","volume":"37 1","pages":"16 - 31"},"PeriodicalIF":0.4,"publicationDate":"2023-02-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42601390","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
Sine Subtraction Laws on Semigroups 半群上的正弦减法律
IF 0.4
Annales Mathematicae Silesianae Pub Date : 2023-02-07 DOI: 10.2478/amsil-2023-0002
B. Ebanks
{"title":"Sine Subtraction Laws on Semigroups","authors":"B. Ebanks","doi":"10.2478/amsil-2023-0002","DOIUrl":"https://doi.org/10.2478/amsil-2023-0002","url":null,"abstract":"Abstract We consider two variants of the sine subtraction law on a semi-group S. The main objective is to solve f(xy∗ ) = f(x)g(y) − g(x)f(y) for unknown functions f, g : S → ℂ, where x ↦ x* is an anti-homomorphic involution. Until now this equation was not solved even when S is a non-Abelian group and x* = x−1. We find the solutions assuming that f is central. A secondary objective is to solve f(xσ(y)) = f(x)g(y) − g(x)f(y), where σ : S → S is a homomorphic involution. Until now this variant was solved assuming that S has an identity element. We also find the continuous solutions of these equations on topological semigroups.","PeriodicalId":52359,"journal":{"name":"Annales Mathematicae Silesianae","volume":"37 1","pages":"49 - 66"},"PeriodicalIF":0.4,"publicationDate":"2023-02-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43420564","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
Existence, Data Dependence and Stability of Fixed Points of Multivalued Maps in Incomplete Metric Spaces 不完全度量空间中多值映射不动点的存在性、数据依赖性和稳定性
IF 0.4
Annales Mathematicae Silesianae Pub Date : 2022-12-20 DOI: 10.2478/amsil-2022-0020
B. Choudhury, N. Metiya, S. Kundu, D. Khatua
{"title":"Existence, Data Dependence and Stability of Fixed Points of Multivalued Maps in Incomplete Metric Spaces","authors":"B. Choudhury, N. Metiya, S. Kundu, D. Khatua","doi":"10.2478/amsil-2022-0020","DOIUrl":"https://doi.org/10.2478/amsil-2022-0020","url":null,"abstract":"Abstract In this paper we formulate a setvalued fixed point problem by combining four prevalent trends of fixed point theory. We solve the problem by showing that the set of fixed points is nonempty. Further we have a data dependence result pertaining to the problem and also a stability result for the fixed point sets. The main result is extended to metric spaces with a graph. The results are obtained without the use of metric completeness assumption which is replaced by some other conditions suitable for solving the fixed point problem. There are some consequences of the main result. The main result is illustrated with an example.","PeriodicalId":52359,"journal":{"name":"Annales Mathematicae Silesianae","volume":"37 1","pages":"32 - 48"},"PeriodicalIF":0.4,"publicationDate":"2022-12-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41795626","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 Observations on the Greatest Prime Factor of an Integer 关于整数最大素因子的一些观察
IF 0.4
Annales Mathematicae Silesianae Pub Date : 2022-11-23 DOI: 10.2478/amsil-2022-0018
R. Jakimczuk
{"title":"Some Observations on the Greatest Prime Factor of an Integer","authors":"R. Jakimczuk","doi":"10.2478/amsil-2022-0018","DOIUrl":"https://doi.org/10.2478/amsil-2022-0018","url":null,"abstract":"Abstract We examine the multiplicity of the greatest prime factor in k-full numbers and k-free numbers. We generalize a well-known result on greatest prime factors and obtain formulas related with the Riemann zeta function.","PeriodicalId":52359,"journal":{"name":"Annales Mathematicae Silesianae","volume":"37 1","pages":"67 - 81"},"PeriodicalIF":0.4,"publicationDate":"2022-11-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49528669","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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