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Annales Mathematicae Silesianae最新文献

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An Elementary Proof for the Decomposition Theorem of Wright Convex Functions Wright凸函数分解定理的一个初等证明
IF 0.4
Annales Mathematicae Silesianae Pub Date : 2019-12-31 DOI: 10.2478/AMSIL-2020-0010
Z. Páles
{"title":"An Elementary Proof for the Decomposition Theorem of Wright Convex Functions","authors":"Z. Páles","doi":"10.2478/AMSIL-2020-0010","DOIUrl":"https://doi.org/10.2478/AMSIL-2020-0010","url":null,"abstract":"Abstract The main goal of this paper is to give a completely elementary proof for the decomposition theorem of Wright convex functions which was discovered by C. T. Ng in 1987. In the proof, we do not use transfinite tools, i.e., variants of Rodé’s theorem, or de Bruijn’s theorem related to functions with continuous differences.","PeriodicalId":52359,"journal":{"name":"Annales Mathematicae Silesianae","volume":"34 1","pages":"142 - 150"},"PeriodicalIF":0.4,"publicationDate":"2019-12-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43737369","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
m-Convex Functions of Higher Order 高阶m-凸函数
IF 0.4
Annales Mathematicae Silesianae Pub Date : 2019-12-11 DOI: 10.2478/amsil-2019-0013
Teodoro Lara, N. Merentes, E. Rosales
{"title":"m-Convex Functions of Higher Order","authors":"Teodoro Lara, N. Merentes, E. Rosales","doi":"10.2478/amsil-2019-0013","DOIUrl":"https://doi.org/10.2478/amsil-2019-0013","url":null,"abstract":"Abstract In this research we introduce the concept of m-convex function of higher order by means of the so called m-divided difference; elementary properties of this type of functions are exhibited and some examples are provided.","PeriodicalId":52359,"journal":{"name":"Annales Mathematicae Silesianae","volume":"34 1","pages":"241 - 255"},"PeriodicalIF":0.4,"publicationDate":"2019-12-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42094485","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 Note on Multiplicative (Generalized) (α, β)-Derivations in Prime Rings 素数环上的乘性(广义)(α， β)导数的注记
IF 0.4
Annales Mathematicae Silesianae Pub Date : 2019-09-01 DOI: 10.2478/amsil-2019-0008
N. Rehman, Radwan M. Al-omary, N. Muthana
{"title":"A Note on Multiplicative (Generalized) (α, β)-Derivations in Prime Rings","authors":"N. Rehman, Radwan M. Al-omary, N. Muthana","doi":"10.2478/amsil-2019-0008","DOIUrl":"https://doi.org/10.2478/amsil-2019-0008","url":null,"abstract":"Abstract Let R be a prime ring with center Z(R). A map G : R →R is called a multiplicative (generalized) (α, β)-derivation if G(xy)= G(x)α(y)+β(x)g(y) is fulfilled for all x; y ∈ R, where g : R → R is any map (not necessarily derivation) and α; β : R → R are automorphisms. Suppose that G and H are two multiplicative (generalized) (α, β)-derivations associated with the mappings g and h, respectively, on R and α, β are automorphisms of R. The main objective of the present paper is to investigate the following algebraic identities: (i) G(xy) + α(xy) = 0, (ii) G(xy) + α(yx) = 0, (iii) G(xy) + G(x)G(y) = 0, (iv) G(xy) = α(y) ○ H(x) and (v) G(xy) = [α(y), H(x)] for all x, y in an appropriate subset of R.","PeriodicalId":52359,"journal":{"name":"Annales Mathematicae Silesianae","volume":"33 1","pages":"266 - 275"},"PeriodicalIF":0.4,"publicationDate":"2019-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45515546","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: 4
Finite, Fiber- and Orientation-Preserving Group Actions on Totally Orientable Seifert Manifolds 完全可定向塞弗特流形上有限、纤维和取向保持的群作用
IF 0.4
Annales Mathematicae Silesianae Pub Date : 2019-09-01 DOI: 10.2478/amsil-2019-0007
Benjamin Peet
{"title":"Finite, Fiber- and Orientation-Preserving Group Actions on Totally Orientable Seifert Manifolds","authors":"Benjamin Peet","doi":"10.2478/amsil-2019-0007","DOIUrl":"https://doi.org/10.2478/amsil-2019-0007","url":null,"abstract":"Abstract In this paper we consider the finite groups that act fiber- and orientation-preservingly on closed, compact, and orientable Seifert manifolds that fiber over an orientable base space. We establish a method of constructing such group actions and then show that if an action satisfies a condition on the obstruction class of the Seifert manifold, it can be derived from the given construction. The obstruction condition is refined and the general structure of the finite groups that act via the construction is provided.","PeriodicalId":52359,"journal":{"name":"Annales Mathematicae Silesianae","volume":"40 1","pages":"235 - 265"},"PeriodicalIF":0.4,"publicationDate":"2019-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"80766770","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: 3
Some Addition Formulas for Fibonacci, Pell and Jacobsthal Numbers Fibonacci、Pell和Jacobthal数的几个加法公式
IF 0.4
Annales Mathematicae Silesianae Pub Date : 2019-09-01 DOI: 10.2478/amsil-2019-0005
Göksal Bilgici, Tuncay Deniz Şentürk
{"title":"Some Addition Formulas for Fibonacci, Pell and Jacobsthal Numbers","authors":"Göksal Bilgici, Tuncay Deniz Şentürk","doi":"10.2478/amsil-2019-0005","DOIUrl":"https://doi.org/10.2478/amsil-2019-0005","url":null,"abstract":"Abstract In this paper, we obtain a closed form for F?i=1k ${F_{sumnolimits_{i = 1}^k {} }}$ , P?i=1k ${P_{sumnolimits_{i = 1}^k {} }}$ and J?i=1k ${J_{sumnolimits_{i = 1}^k {} }}$ for some positive integers k where Fr, Pr and Jr are the rth Fibonacci, Pell and Jacobsthal numbers, respectively. We also give three open problems for the general cases F?i=1n ${F_{sumnolimits_{i = 1}^n {} }}$ , P?i=1n ${P_{sumnolimits_{i = 1}^n {} }}$ and J?i=1n ${J_{sumnolimits_{i = 1}^n {} }}$ for any arbitrary positive integer n.","PeriodicalId":52359,"journal":{"name":"Annales Mathematicae Silesianae","volume":"33 1","pages":"55 - 65"},"PeriodicalIF":0.4,"publicationDate":"2019-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46774045","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: 3
Some Generalizations of Non-Unique Fixed Point Theorems of Ćirić-type for (Φ, ψ)-Hybrid Contractive Mappings （Φ，ψ）-混合压缩映射的非唯一不动点定理的一些推广
IF 0.4
Annales Mathematicae Silesianae Pub Date : 2019-09-01 DOI: 10.2478/amsil-2019-0010
M. Olatinwo
{"title":"Some Generalizations of Non-Unique Fixed Point Theorems of Ćirić-type for (Φ, ψ)-Hybrid Contractive Mappings","authors":"M. Olatinwo","doi":"10.2478/amsil-2019-0010","DOIUrl":"https://doi.org/10.2478/amsil-2019-0010","url":null,"abstract":"Abstract In this article, we establish some non-unique fixed point theorems of Ćirić’s type for (Φ, ψ)–hybrid contractive mappings by using a similar notion to that of the paper [M. Akram, A.A. Zafar and A.A. Siddiqui, A general class of contractions: A–contractions, Novi Sad J. Math. 38 (2008), no. 1, 25–33]. Our results generalize, extend and improve several ones in the literature.","PeriodicalId":52359,"journal":{"name":"Annales Mathematicae Silesianae","volume":"33 1","pages":"221 - 234"},"PeriodicalIF":0.4,"publicationDate":"2019-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47652891","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
Extending the Applicability of the Super-Halley-Like Method Using ω-Continuous Derivatives and Restricted Convergence Domains 用ω-连续导数和限制收敛域扩展类超哈雷方法的适用性
IF 0.4
Annales Mathematicae Silesianae Pub Date : 2019-09-01 DOI: 10.2478/amsil-2018-0008
I. Argyros, S. George
{"title":"Extending the Applicability of the Super-Halley-Like Method Using ω-Continuous Derivatives and Restricted Convergence Domains","authors":"I. Argyros, S. George","doi":"10.2478/amsil-2018-0008","DOIUrl":"https://doi.org/10.2478/amsil-2018-0008","url":null,"abstract":"Abstract We present a local convergence analysis of the super-Halley-like method in order to approximate a locally unique solution of an equation in a Banach space setting. The convergence analysis in earlier studies was based on hypotheses reaching up to the third derivative of the operator. In the present study we expand the applicability of the super-Halley-like method by using hypotheses up to the second derivative. We also provide: a computable error on the distances involved and a uniqueness result based on Lipschitz constants. Numerical examples are also presented in this study.","PeriodicalId":52359,"journal":{"name":"Annales Mathematicae Silesianae","volume":"33 1","pages":"21 - 40"},"PeriodicalIF":0.4,"publicationDate":"2019-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49503861","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
Inverse Ambiguous Functions and Automorphisms on Finite Groups 有限群上的逆模糊函数与自同构
IF 0.4
Annales Mathematicae Silesianae Pub Date : 2019-09-01 DOI: 10.2478/amsil-2019-0006
Imke Toborg
{"title":"Inverse Ambiguous Functions and Automorphisms on Finite Groups","authors":"Imke Toborg","doi":"10.2478/amsil-2019-0006","DOIUrl":"https://doi.org/10.2478/amsil-2019-0006","url":null,"abstract":"Abstract If G is a finite group, then a bijective function f : G → G is inverse ambiguous if and only if f(x)−1 = f−1(x) for all x ∈ G. We give a precise description when a finite group admits an inverse ambiguous function and when a finite group admits an inverse ambiguous automorphism.","PeriodicalId":52359,"journal":{"name":"Annales Mathematicae Silesianae","volume":"33 1","pages":"284 - 297"},"PeriodicalIF":0.4,"publicationDate":"2019-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43968814","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 New One Parameter Generalization of Pell Numbers 关于Pell数的一种新的单参数推广
IF 0.4
Annales Mathematicae Silesianae Pub Date : 2019-09-01 DOI: 10.2478/amsil-2019-0011
D. Bród
{"title":"On a New One Parameter Generalization of Pell Numbers","authors":"D. Bród","doi":"10.2478/amsil-2019-0011","DOIUrl":"https://doi.org/10.2478/amsil-2019-0011","url":null,"abstract":"Abstract In this paper we present a new one parameter generalization of the classical Pell numbers. We investigate the generalized Binet’s formula, the generating function and some identities for r-Pell numbers. Moreover, we give a graph interpretation of these numbers.","PeriodicalId":52359,"journal":{"name":"Annales Mathematicae Silesianae","volume":"33 1","pages":"66 - 76"},"PeriodicalIF":0.4,"publicationDate":"2019-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41774227","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
Refinements of Some Recent Inequalities for Certain Special Functions 关于某些特殊函数的一些最近不等式的改进
IF 0.4
Annales Mathematicae Silesianae Pub Date : 2019-09-01 DOI: 10.2478/amsil-2019-0009
M. Akkouchi, M. Ighachane
{"title":"Refinements of Some Recent Inequalities for Certain Special Functions","authors":"M. Akkouchi, M. Ighachane","doi":"10.2478/amsil-2019-0009","DOIUrl":"https://doi.org/10.2478/amsil-2019-0009","url":null,"abstract":"Abstract The aim of this paper is to give some refinements to several inequalities, recently etablished, by P.K. Bhandari and S.K. Bissu in [Inequalities via Hölder’s inequality, Scholars Journal of Research in Mathematics and Computer Science, 2 (2018), no. 2, 124–129] for the incomplete gamma function, Polygamma functions, Exponential integral function, Abramowitz function, Hurwitz-Lerch zeta function and for the normalizing constant of the generalized inverse Gaussian distribution and the Remainder of the Binet’s first formula for ln Γ(x).","PeriodicalId":52359,"journal":{"name":"Annales Mathematicae Silesianae","volume":"33 1","pages":"1 - 20"},"PeriodicalIF":0.4,"publicationDate":"2019-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47906788","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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