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Annales Mathematicae Silesianae最新文献

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Ohlin and Levin–Stečkin-Type Results for Strongly Convex Functions 强凸函数的Ohlin和levin - stekin型结果
IF 0.4
Annales Mathematicae Silesianae Pub Date : 2020-07-01 DOI: 10.2478/amsil-2020-0017
K. Nikodem, T. Rajba
{"title":"Ohlin and Levin–Stečkin-Type Results for Strongly Convex Functions","authors":"K. Nikodem, T. Rajba","doi":"10.2478/amsil-2020-0017","DOIUrl":"https://doi.org/10.2478/amsil-2020-0017","url":null,"abstract":"Abstract Counterparts of the Ohlin and Levin–Stečkin theorems for strongly convex functions are proved. An application of these results to obtain some known inequalities related with strongly convex functions in an alternative and unified way is presented.","PeriodicalId":52359,"journal":{"name":"Annales Mathematicae Silesianae","volume":"34 1","pages":"123 - 132"},"PeriodicalIF":0.4,"publicationDate":"2020-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45403738","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
On a Separation Theorem for Delta-Convex Functions 关于凸函数的一个分离定理
IF 0.4
Annales Mathematicae Silesianae Pub Date : 2020-07-01 DOI: 10.2478/amsil-2020-0013
A. Olbryś
{"title":"On a Separation Theorem for Delta-Convex Functions","authors":"A. Olbryś","doi":"10.2478/amsil-2020-0013","DOIUrl":"https://doi.org/10.2478/amsil-2020-0013","url":null,"abstract":"Abstract In the present paper we establish necessary and sufficient conditions under which two functions can be separated by a delta-convex function. This separation will be understood as a separation with respect to the partial order generated by the Lorentz cone. An application to a stability problem for delta-convexity is also given.","PeriodicalId":52359,"journal":{"name":"Annales Mathematicae Silesianae","volume":"34 1","pages":"133 - 141"},"PeriodicalIF":0.4,"publicationDate":"2020-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49260644","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
Limits of Sequences of Feebly-Type Continuous Functions 弱型连续函数序列的极限
IF 0.4
Annales Mathematicae Silesianae Pub Date : 2020-07-01 DOI: 10.2478/amsil-2020-0011
M. Balcerzak, T. Natkaniec, Małgorzata Terepeta
{"title":"Limits of Sequences of Feebly-Type Continuous Functions","authors":"M. Balcerzak, T. Natkaniec, Małgorzata Terepeta","doi":"10.2478/amsil-2020-0011","DOIUrl":"https://doi.org/10.2478/amsil-2020-0011","url":null,"abstract":"Abstract We consider the following families of real-valued functions defined on 𝕉2: feebly continuous functions (FC), very feebly continuous functions (VFC), and two-feebly continuous functions (TFC). It is known that the inclusions FC ⊂ VFC ⊂ TFC are proper. We study pointwise and uniform limits of sequences with terms taken from these families.","PeriodicalId":52359,"journal":{"name":"Annales Mathematicae Silesianae","volume":"34 1","pages":"27 - 35"},"PeriodicalIF":0.4,"publicationDate":"2020-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47126812","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
Report of Meeting. The Twentieth Debrecen–Katowice Winter Seminar on Functional Equations and Inequalities Hajdúszoboszló (Hungary), January 29–February 1, 2020 会议报告。第二十届德布勒森-卡托维兹函数方程和不等式冬季研讨会Hajdúszoboszló（匈牙利），2020年1月29日至2月1日
IF 0.4
Annales Mathematicae Silesianae Pub Date : 2020-06-22 DOI: 10.2478/amsil-2020-0007
{"title":"Report of Meeting. The Twentieth Debrecen–Katowice Winter Seminar on Functional Equations and Inequalities Hajdúszoboszló (Hungary), January 29–February 1, 2020","authors":"","doi":"10.2478/amsil-2020-0007","DOIUrl":"https://doi.org/10.2478/amsil-2020-0007","url":null,"abstract":"","PeriodicalId":52359,"journal":{"name":"Annales Mathematicae Silesianae","volume":"1 1","pages":""},"PeriodicalIF":0.4,"publicationDate":"2020-06-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45362752","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
Convergence in Measure and in Category 尺度收敛与范畴收敛
IF 0.4
Annales Mathematicae Silesianae Pub Date : 2020-05-08 DOI: 10.2478/amsil-2020-0001
W. Wilczyński
{"title":"Convergence in Measure and in Category","authors":"W. Wilczyński","doi":"10.2478/amsil-2020-0001","DOIUrl":"https://doi.org/10.2478/amsil-2020-0001","url":null,"abstract":"Abstract W. Orlicz in 1951 has observed that if {fn(·, y)}n∈N converges in measure to f(·, y) for each y ∈ [0, 1], then {fn}n∈N converges in measure to f on [0, 1] × [0, 1]. The situation is different for the convergence in category even if we assume the convergence in category of sequences {fn(·, y)}n∈N for each y ∈ [0, 1] and {fn(x, ·)}n∈N for each x ∈ [0, 1].","PeriodicalId":52359,"journal":{"name":"Annales Mathematicae Silesianae","volume":"34 1","pages":"164 - 168"},"PeriodicalIF":0.4,"publicationDate":"2020-05-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48197044","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
Delta-Convexity With Given Weights 给定权值的凸性
IF 0.4
Annales Mathematicae Silesianae Pub Date : 2020-05-08 DOI: 10.2478/amsil-2020-0003
R. Ger
{"title":"Delta-Convexity With Given Weights","authors":"R. Ger","doi":"10.2478/amsil-2020-0003","DOIUrl":"https://doi.org/10.2478/amsil-2020-0003","url":null,"abstract":"Abstract Some differentiability results from the paper of D.Ş. Marinescu & M. Monea [7] on delta-convex mappings, obtained for real functions, are extended for mappings with values in a normed linear space. In this way, we are nearing the completion of studies established in papers [2], [5] and [7].","PeriodicalId":52359,"journal":{"name":"Annales Mathematicae Silesianae","volume":"34 1","pages":"73 - 80"},"PeriodicalIF":0.4,"publicationDate":"2020-05-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45812594","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 General Fixed Point Theorem for Two Pairs of Absorbing Mappings in Gp -Metric Spaces Gp度量空间中两对吸收映射的一般不动点定理
IF 0.4
Annales Mathematicae Silesianae Pub Date : 2020-05-08 DOI: 10.2478/amsil-2020-0004
V. Popa
{"title":"A General Fixed Point Theorem for Two Pairs of Absorbing Mappings in Gp -Metric Spaces","authors":"V. Popa","doi":"10.2478/amsil-2020-0004","DOIUrl":"https://doi.org/10.2478/amsil-2020-0004","url":null,"abstract":"Abstract A general fixed point theorem for two pairs of absorbing mappings satisfying a new type of implicit relation ([37]), without weak compatibility in Gp-metric spaces is proved. As applications, new results for mappings satisfying contractive conditions of integral type and for ϕ-contractive mappings are obtained.","PeriodicalId":52359,"journal":{"name":"Annales Mathematicae Silesianae","volume":"34 1","pages":"268 - 285"},"PeriodicalIF":0.4,"publicationDate":"2020-05-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43674123","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
Connections Between the Completion of Normed Spaces Over Non-Archimedean Fields and the Stability of the Cauchy Equation 非阿基米德域上赋范空间的完备性与Cauchy方程稳定性的联系
IF 0.4
Annales Mathematicae Silesianae Pub Date : 2020-05-08 DOI: 10.2478/amsil-2020-0002
J. Schwaiger
{"title":"Connections Between the Completion of Normed Spaces Over Non-Archimedean Fields and the Stability of the Cauchy Equation","authors":"J. Schwaiger","doi":"10.2478/amsil-2020-0002","DOIUrl":"https://doi.org/10.2478/amsil-2020-0002","url":null,"abstract":"Abstract In [12] a close connection between stability results for the Cauchy equation and the completion of a normed space over the rationals endowed with the usual absolute value has been investigated. Here similar results are presented when the valuation of the rationals is a p-adic valuation. Moreover a result by Zygfryd Kominek ([5]) on the stability of the Pexider equation is formulated and proved in the context of Banach spaces over the field of p-adic numbers.","PeriodicalId":52359,"journal":{"name":"Annales Mathematicae Silesianae","volume":"34 1","pages":"151 - 163"},"PeriodicalIF":0.4,"publicationDate":"2020-05-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46108084","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
Notes on a General Sequence 关于一般序列的注记
IF 0.4
Annales Mathematicae Silesianae Pub Date : 2020-05-08 DOI: 10.2478/amsil-2020-0006
Reza Farhadian, R. Jakimczuk
{"title":"Notes on a General Sequence","authors":"Reza Farhadian, R. Jakimczuk","doi":"10.2478/amsil-2020-0006","DOIUrl":"https://doi.org/10.2478/amsil-2020-0006","url":null,"abstract":"Abstract Let {rn}n∈𝕅 be a strictly increasing sequence of nonnegative real numbers satisfying the asymptotic formula rn ~ αβn, where α, β are real numbers with α > 0 and β > 1. In this note we prove some limits that connect this sequence to the number e. We also establish some asymptotic formulae and limits for the counting function of this sequence. All of the results are applied to some well-known sequences in mathematics.","PeriodicalId":52359,"journal":{"name":"Annales Mathematicae Silesianae","volume":"34 1","pages":"193 - 202"},"PeriodicalIF":0.4,"publicationDate":"2020-05-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47965582","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
Hypo-q-Norms on a Cartesian Product of Algebras of Operators on Banach Spaces Banach空间上算子代数的笛卡尔乘积上的次q-范数
IF 0.4
Annales Mathematicae Silesianae Pub Date : 2020-02-01 DOI: 10.2478/amsil-2019-0014
S. Dragomir
{"title":"Hypo-q-Norms on a Cartesian Product of Algebras of Operators on Banach Spaces","authors":"S. Dragomir","doi":"10.2478/amsil-2019-0014","DOIUrl":"https://doi.org/10.2478/amsil-2019-0014","url":null,"abstract":"Abstract In this paper we consider the hypo-q-operator norm and hypo-q-numerical radius on a Cartesian product of algebras of bounded linear operators on Banach spaces. A representation of these norms in terms of semi-inner products, the equivalence with the q-norms on a Cartesian product and some reverse inequalities obtained via the scalar reverses of Cauchy-Buniakowski-Schwarz inequality are also given.","PeriodicalId":52359,"journal":{"name":"Annales Mathematicae Silesianae","volume":"34 1","pages":"169 - 192"},"PeriodicalIF":0.4,"publicationDate":"2020-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44271133","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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