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Some new inequalities via s-convex functions on time scales 时间尺度上s-凸函数的一些新的不等式
IF 0.5
Acta Universitatis Sapientiae-Mathematica Pub Date : 2021-08-01 DOI: 10.2478/ausm-2021-0014
N. Mehreen, M. Anwar
{"title":"Some new inequalities via s-convex functions on time scales","authors":"N. Mehreen, M. Anwar","doi":"10.2478/ausm-2021-0014","DOIUrl":"https://doi.org/10.2478/ausm-2021-0014","url":null,"abstract":"Abstract In this paper, we prove some new integral inequalities for s-convex function on time scale. We give results for the case when time scale is ℝ and when time scale is ℕ.","PeriodicalId":43054,"journal":{"name":"Acta Universitatis Sapientiae-Mathematica","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2021-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"78119995","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
Topological properties for a perturbed first order sweeping process 扰动一阶扫描过程的拓扑性质
IF 0.5
Acta Universitatis Sapientiae-Mathematica Pub Date : 2021-08-01 DOI: 10.2478/ausm-2021-0001
Doria Affane, Loubna Boulkemh
{"title":"Topological properties for a perturbed first order sweeping process","authors":"Doria Affane, Loubna Boulkemh","doi":"10.2478/ausm-2021-0001","DOIUrl":"https://doi.org/10.2478/ausm-2021-0001","url":null,"abstract":"Abstract In this paper, we consider a perturbed sweeping process for a class of subsmooth moving sets. The perturbation is general and takes the form of a sum of a single-valued mapping and a set-valued mapping. In the first result, we study some topological proprieties of the attainable set, the set-valued mapping considered here is upper semi-continuous with convex values. In the second result, we treat the autonomous problem under assumptions that do not require the convexity of the values and that weaken the assumption on the upper semi-continuity. Then, we deduce a solution of the time optimality problem.","PeriodicalId":43054,"journal":{"name":"Acta Universitatis Sapientiae-Mathematica","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2021-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"90983585","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
On γ−countably paracompact sets 在γ−可数拟紧集上
IF 0.5
Acta Universitatis Sapientiae-Mathematica Pub Date : 2020-11-01 DOI: 10.2478/ausm-2020-0027
A. Rawshdeh, Heyam H. Al-jarrah, K. Al-Zoubi, W. Shatanawi
{"title":"On γ−countably paracompact sets","authors":"A. Rawshdeh, Heyam H. Al-jarrah, K. Al-Zoubi, W. Shatanawi","doi":"10.2478/ausm-2020-0027","DOIUrl":"https://doi.org/10.2478/ausm-2020-0027","url":null,"abstract":"Abstract In this paper we introduce and study a new class of sets, namely γ−countably paracompact sets. We characterize γ−countably paracompact sets and we study some of its basic properties. We obtain that this class of sets is weaker than α−countably paracompact sets and stronger than β−countably paracompact sets.","PeriodicalId":43054,"journal":{"name":"Acta Universitatis Sapientiae-Mathematica","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2020-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"82541585","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 convergence difference sequences and the related operator norms 差分序列的收敛性及其算子范数
IF 0.5
Acta Universitatis Sapientiae-Mathematica Pub Date : 2020-11-01 DOI: 10.2478/ausm-2020-0016
P. Baliarsingh, L. Nayak, S. Samantaray
{"title":"On the convergence difference sequences and the related operator norms","authors":"P. Baliarsingh, L. Nayak, S. Samantaray","doi":"10.2478/ausm-2020-0016","DOIUrl":"https://doi.org/10.2478/ausm-2020-0016","url":null,"abstract":"Abstract In this note, we discuss the definitions of the difference sequences defined earlier by Kızmaz (1981), Et and Çolak (1995), Malkowsky et al. (2007), Başar (2012), Baliarsingh (2013, 2015) and many others. Several authors have defined the difference sequence spaces and studied their various properties. It is quite natural to analyze the convergence of the corresponding sequences. As a part of this work, a convergence analysis of difference sequence of fractional order defined earlier is presented. It is demonstrated that the convergence of the fractional difference sequence is dynamic in nature and some of the results involved are also inconsistent. We provide certain stronger conditions on the primary sequence and the results due to earlier authors are substantially modified. Some illustrative examples are provided for each point of the modifications. Results on certain operator norms related to the difference operator of fractional order are also determined.","PeriodicalId":43054,"journal":{"name":"Acta Universitatis Sapientiae-Mathematica","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2020-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"85575045","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 topological properties of the set of maldistributed sequences 非分布序列集的拓扑性质
IF 0.5
Acta Universitatis Sapientiae-Mathematica Pub Date : 2020-11-01 DOI: 10.2478/ausm-2020-0018
József Bukor, J. Tóth
{"title":"On topological properties of the set of maldistributed sequences","authors":"József Bukor, J. Tóth","doi":"10.2478/ausm-2020-0018","DOIUrl":"https://doi.org/10.2478/ausm-2020-0018","url":null,"abstract":"Abstract The real sequence (xn) is maldistributed if for any non-empty interval I, the set {n ∈𝕅 : xn ∈I} has upper asymptotic density 1. The main result of this note is that the set of all maldistributed real sequences is a residual set in the set of all real sequences (i.e., the maldistribution is a typical property in the sense of Baire categories). We also generalize this result.","PeriodicalId":43054,"journal":{"name":"Acta Universitatis Sapientiae-Mathematica","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2020-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"78396630","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 connection between tridiagonal matrices, Chebyshev polynomials, and Fibonacci numbers 关于三对角矩阵、切比雪夫多项式和斐波那契数之间的联系
IF 0.5
Acta Universitatis Sapientiae-Mathematica Pub Date : 2020-11-01 DOI: 10.2478/ausm-2020-0019
C. D. da Fonseca
{"title":"On the connection between tridiagonal matrices, Chebyshev polynomials, and Fibonacci numbers","authors":"C. D. da Fonseca","doi":"10.2478/ausm-2020-0019","DOIUrl":"https://doi.org/10.2478/ausm-2020-0019","url":null,"abstract":"Abstract In this note, we recall several connections between the determinant of some tridiagonal matrices and the orthogonal polynomials allowing the relation between Chebyshev polynomials of second kind and Fibonacci numbers. With basic transformations, we are able to recover some recent results on this matter, bringing them into one place.","PeriodicalId":43054,"journal":{"name":"Acta Universitatis Sapientiae-Mathematica","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2020-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"73708694","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
Maia type fixed point results via C-class function Maia型定点结果通过c类函数实现
IF 0.5
Acta Universitatis Sapientiae-Mathematica Pub Date : 2020-11-01 DOI: 10.2478/ausm-2020-0015
A. H. Ansari, M. Khan, V. Rakočević
{"title":"Maia type fixed point results via C-class function","authors":"A. H. Ansari, M. Khan, V. Rakočević","doi":"10.2478/ausm-2020-0015","DOIUrl":"https://doi.org/10.2478/ausm-2020-0015","url":null,"abstract":"Abstract In 1968, M. G. Maia [16] generalized Banach’s fixed point theorem for a set X endowed with two metrics. In 2014, Ansari [2]introduced the concept of C-class functions and generalized many fixed point theorems in the literature. In this paper, we prove some Maia’s type fixed point results via C-class function in the setting of two metrics space endowed with a binary relation. Our results, generalized and extended many existing fixed point theorems, for generalized contractive and quasi-contractive mappings, in a metric space endowed with binary relation.","PeriodicalId":43054,"journal":{"name":"Acta Universitatis Sapientiae-Mathematica","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2020-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"77290218","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 some properties of split Horadam quaternions 关于分裂Horadam四元数的一些性质
IF 0.5
Acta Universitatis Sapientiae-Mathematica Pub Date : 2020-11-01 DOI: 10.2478/ausm-2020-0017
D. Bród
{"title":"On some properties of split Horadam quaternions","authors":"D. Bród","doi":"10.2478/ausm-2020-0017","DOIUrl":"https://doi.org/10.2478/ausm-2020-0017","url":null,"abstract":"Abstract In this paper we introduce and study the split Horadam quaternions. We give some identities, among others Binet’s formula, Catalan’s, Cassini’s and d’Ocagne’s identities for these numbers.","PeriodicalId":43054,"journal":{"name":"Acta Universitatis Sapientiae-Mathematica","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2020-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"76117860","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 nil-clean rings 白纸上的字条
IF 0.5
Acta Universitatis Sapientiae-Mathematica Pub Date : 2020-11-01 DOI: 10.2478/ausm-2020-0020
P. Danchev
{"title":"A note on nil-clean rings","authors":"P. Danchev","doi":"10.2478/ausm-2020-0020","DOIUrl":"https://doi.org/10.2478/ausm-2020-0020","url":null,"abstract":"Abstract We study a special kind of nil-clean rings, namely those nil-clean rings whose nilpotent elements are difference of two “left-right symmetric” idempotents, and prove that in some various cases they are strongly π-regular. We also show that all nil-clean rings having cyclic unit 2-groups are themselves strongly nil-clean of characteristic 2 (and thus they are again strongly π-regular).","PeriodicalId":43054,"journal":{"name":"Acta Universitatis Sapientiae-Mathematica","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2020-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"81188618","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
Generalized operator for Alexander integral operator Alexander积分算子的广义算子
IF 0.5
Acta Universitatis Sapientiae-Mathematica Pub Date : 2020-11-01 DOI: 10.2478/ausm-2020-0021
H. Güney, S. Owa
{"title":"Generalized operator for Alexander integral operator","authors":"H. Güney, S. Owa","doi":"10.2478/ausm-2020-0021","DOIUrl":"https://doi.org/10.2478/ausm-2020-0021","url":null,"abstract":"Abstract Let Tn be the class of functions f which are defined by a power series f(z)=z+an+1zn+1+an2zn+2+…fleft( z right) = z + {a_{n + 1}}{z^{n + 1}} + {a_n}2{z^{n + 2}} + ldots for every z in the closed unit disc 𝕌¯bar {mathbb{U}}. With m different boundary points zs, (s = 1,2,...,m), we consider αm ∈ eiβ𝒜−j−λf(𝕌), here 𝒜−j−λ is the generalized Alexander integral operator and 𝕌 is the open unit disc. Applying 𝒜−j−λ, a subclass Bn(αm,β,ρ; j, λ) of Tn is defined with fractional integral for functions f. The object of present paper is to consider some interesting properties of f to be in Bn(αm,β,ρ; j, λ).","PeriodicalId":43054,"journal":{"name":"Acta Universitatis Sapientiae-Mathematica","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2020-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"73598395","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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