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Annales Universitatis Paedagogicae Cracoviensis-Studia Mathematica最新文献

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The p-semisimple property for some generalizations of BCI algebras and its applications BCI代数若干推广的p-半单性质及其应用
IF 0.9
Annales Universitatis Paedagogicae Cracoviensis-Studia Mathematica Pub Date : 2020-02-17 DOI: 10.2478/aupcsm-2020-0007
L. Obojska, A. Walendziak
{"title":"The p-semisimple property for some generalizations of BCI algebras and its applications","authors":"L. Obojska, A. Walendziak","doi":"10.2478/aupcsm-2020-0007","DOIUrl":"https://doi.org/10.2478/aupcsm-2020-0007","url":null,"abstract":"This paper presents some generalizations of BCI algebras (the RM, tRM, *RM, RM**, *RM**, aRM**, *aRM**, BCH**, BZ, pre-BZ and pre-BCI algebras). We investigate the p-semisimple property for algebras mentioned above; give some examples and display various conditions equivalent to p-semisimplicity. Finally, we present a model of mereology without antisymmetry (NAM) which could represent a tRM algebra.","PeriodicalId":53863,"journal":{"name":"Annales Universitatis Paedagogicae Cracoviensis-Studia Mathematica","volume":"23 1","pages":""},"PeriodicalIF":0.9,"publicationDate":"2020-02-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"82861412","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
Counter examples for pseudo-amenability of some semigroup algebras 一些半群代数的伪可顺应性的反例
IF 0.9
Annales Universitatis Paedagogicae Cracoviensis-Studia Mathematica Pub Date : 2020-02-01 DOI: 10.2478/aupcsm-2020-0003
A. Sahami
{"title":"Counter examples for pseudo-amenability of some semigroup algebras","authors":"A. Sahami","doi":"10.2478/aupcsm-2020-0003","DOIUrl":"https://doi.org/10.2478/aupcsm-2020-0003","url":null,"abstract":"\u0000 In this short note, we give some counter examples which show that [11, Proposition 3.5] is not true. As a consequence, the arguments in [11, Proposition 4.10] are not valid.","PeriodicalId":53863,"journal":{"name":"Annales Universitatis Paedagogicae Cracoviensis-Studia Mathematica","volume":"74 1","pages":""},"PeriodicalIF":0.9,"publicationDate":"2020-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"78147571","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
Stability analysis of implicit fractional differential equation with anti–periodic integral boundary value problem 带反周期积分边值问题的隐式分数阶微分方程稳定性分析
IF 0.9
Annales Universitatis Paedagogicae Cracoviensis-Studia Mathematica Pub Date : 2020-01-07 DOI: 10.2478/aupcsm-2020-0001
A. Zada, H. Waheed
{"title":"Stability analysis of implicit fractional differential equation with anti–periodic integral boundary value problem","authors":"A. Zada, H. Waheed","doi":"10.2478/aupcsm-2020-0001","DOIUrl":"https://doi.org/10.2478/aupcsm-2020-0001","url":null,"abstract":"\u0000 In this manuscript, we study the existence, uniqueness and various kinds of Ulam stability including Ulam–Hyers stability, generalized Ulam– Hyers stability, Ulam–Hyers–Rassias stability, and generalized Ulam–Hyers– Rassias stability of the solution to an implicit nonlinear fractional differential equations corresponding to an implicit integral boundary condition. We develop conditions for the existence and uniqueness by using the classical fixed point theorems such as Banach contraction principle and Schaefer’s fixed point theorem. For stability, we utilize classical functional analysis. The main results are well illustrated with an example.","PeriodicalId":53863,"journal":{"name":"Annales Universitatis Paedagogicae Cracoviensis-Studia Mathematica","volume":"7 1","pages":""},"PeriodicalIF":0.9,"publicationDate":"2020-01-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"89256727","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: 9
Report of Meeting 18th International Conference on Functional Equations and Inequalities, Będlewo, Poland, June 9–15, 2019 第十八届泛函方程与不等式国际会议报告，Będlewo，波兰，2019年6月9-15日
IF 0.9
Annales Universitatis Paedagogicae Cracoviensis-Studia Mathematica Pub Date : 2019-12-01 DOI: 10.1515/aupcsm-2017-0013
{"title":"Report of Meeting 18th International Conference on Functional Equations and Inequalities, Będlewo, Poland, June 9–15, 2019","authors":"","doi":"10.1515/aupcsm-2017-0013","DOIUrl":"https://doi.org/10.1515/aupcsm-2017-0013","url":null,"abstract":"","PeriodicalId":53863,"journal":{"name":"Annales Universitatis Paedagogicae Cracoviensis-Studia Mathematica","volume":"64 11","pages":""},"PeriodicalIF":0.9,"publicationDate":"2019-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"72496346","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
Gelin-Cesáro identities for Fibonacci and Lucas quaternions Gelin-Cesáro斐波那契和卢卡斯四元数的恒等式
IF 0.9
Annales Universitatis Paedagogicae Cracoviensis-Studia Mathematica Pub Date : 2019-12-01 DOI: 10.2478/aupcsm-2019-0010
Ahmet Daşdemir
{"title":"Gelin-Cesáro identities for Fibonacci and Lucas quaternions","authors":"Ahmet Daşdemir","doi":"10.2478/aupcsm-2019-0010","DOIUrl":"https://doi.org/10.2478/aupcsm-2019-0010","url":null,"abstract":"Abstract To date, many identities of different quaternions, including the Fibonacci and Lucas quaternions, have been investigated. In this study, we present Gelin-Cesáro identities for Fibonacci and Lucas quaternions. The identities are a worthy addition to the literature. Moreover, we give Catalan’s identity for the Lucas quaternions.","PeriodicalId":53863,"journal":{"name":"Annales Universitatis Paedagogicae Cracoviensis-Studia Mathematica","volume":"3 1","pages":"137 - 144"},"PeriodicalIF":0.9,"publicationDate":"2019-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"91259842","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
Binomial sequences 二项序列
IF 0.9
Annales Universitatis Paedagogicae Cracoviensis-Studia Mathematica Pub Date : 2019-12-01 DOI: 10.2478/aupcsm-2019-0008
A. Nowicki
{"title":"Binomial sequences","authors":"A. Nowicki","doi":"10.2478/aupcsm-2019-0008","DOIUrl":"https://doi.org/10.2478/aupcsm-2019-0008","url":null,"abstract":"Abstract We present a description of all binomial sequences of polynomials in one variable over a field of characteristic zero.","PeriodicalId":53863,"journal":{"name":"Annales Universitatis Paedagogicae Cracoviensis-Studia Mathematica","volume":"26 1","pages":"122 - 93"},"PeriodicalIF":0.9,"publicationDate":"2019-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"73609297","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
Cauchy type functional equations related to some associative rational functions 与关联有理函数相关的柯西型泛函方程
IF 0.9
Annales Universitatis Paedagogicae Cracoviensis-Studia Mathematica Pub Date : 2019-12-01 DOI: 10.2478/aupcsm-2019-0011
K. Domańska
{"title":"Cauchy type functional equations related to some associative rational functions","authors":"K. Domańska","doi":"10.2478/aupcsm-2019-0011","DOIUrl":"https://doi.org/10.2478/aupcsm-2019-0011","url":null,"abstract":"Abstract L. Losonczi [4] determined local solutions of the generalized Cauchy equation f(F (x, y)) = f(x) + f(y) on components of the definition of a given associative rational function F. The class of the associative rational function was described by A. Chéritat [1] and his work was followed by paper [3] of the author. The aim of the present paper is to describe local solutions of the equation considered for some singular associative rational functions.","PeriodicalId":53863,"journal":{"name":"Annales Universitatis Paedagogicae Cracoviensis-Studia Mathematica","volume":"1 1","pages":"145 - 156"},"PeriodicalIF":0.9,"publicationDate":"2019-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"89062697","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
Local convergence comparison between two novel sixth order methods for solving equations 两种新型六阶方程求解方法的局部收敛性比较
IF 0.9
Annales Universitatis Paedagogicae Cracoviensis-Studia Mathematica Pub Date : 2019-12-01 DOI: 10.2478/aupcsm-2019-0001
I. Argyros, S. George
{"title":"Local convergence comparison between two novel sixth order methods for solving equations","authors":"I. Argyros, S. George","doi":"10.2478/aupcsm-2019-0001","DOIUrl":"https://doi.org/10.2478/aupcsm-2019-0001","url":null,"abstract":"Abstract The aim of this article is to provide the local convergence analysis of two novel competing sixth convergence order methods for solving equations involving Banach space valued operators. Earlier studies have used hypotheses reaching up to the sixth derivative but only the first derivative appears in these methods. These hypotheses limit the applicability of the methods. That is why we are motivated to present convergence analysis based only on the first derivative. Numerical examples where the convergence criteria are tested are provided. It turns out that in these examples the criteria in the earlier works are not satisfied, so these results cannot be used to solve equations but our results can be used.","PeriodicalId":53863,"journal":{"name":"Annales Universitatis Paedagogicae Cracoviensis-Studia Mathematica","volume":"21 1","pages":"19 - 5"},"PeriodicalIF":0.9,"publicationDate":"2019-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"80805484","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 new application of almost increasing sequences 几乎递增序列的新应用
IF 0.9
Annales Universitatis Paedagogicae Cracoviensis-Studia Mathematica Pub Date : 2019-12-01 DOI: 10.2478/aupcsm-2019-0005
A. Karakas
{"title":"A new application of almost increasing sequences","authors":"A. Karakas","doi":"10.2478/aupcsm-2019-0005","DOIUrl":"https://doi.org/10.2478/aupcsm-2019-0005","url":null,"abstract":"Abstract In this paper, a known result dealing with | ̄N, pn|k summability of infinite series has been generalized to the φ − | ̄N, pn; δ|k summability of infinite series by using an almost increasing sequence.","PeriodicalId":53863,"journal":{"name":"Annales Universitatis Paedagogicae Cracoviensis-Studia Mathematica","volume":"6 1","pages":"59 - 65"},"PeriodicalIF":0.9,"publicationDate":"2019-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"77623930","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
Solutions of the time-independent Schrödinger equation by uniformization on the unit circle 在单位圆上均匀化解时间无关Schrödinger方程
IF 0.9
Annales Universitatis Paedagogicae Cracoviensis-Studia Mathematica Pub Date : 2019-09-25 DOI: 10.2478/aupcsm-2019-0012
K. Rajchel
{"title":"Solutions of the time-independent Schrödinger equation by uniformization on the unit circle","authors":"K. Rajchel","doi":"10.2478/aupcsm-2019-0012","DOIUrl":"https://doi.org/10.2478/aupcsm-2019-0012","url":null,"abstract":"Abstract The idea presented here of a general quantization rule for bound states is mainly based on the Riccati equation which is a result of the transformed, time-independent, one-dimensional Schrödinger equation. The condition imposed on the logarithmic derivative of the ground state function W0 allows to present the Riccati equation as the unit circle equation with winding number equal to one which, by appropriately chosen transformations, can be converted into the unit circle equation with multiple winding number. As a consequence, a completely new quantization condition, which gives exact results for any quantum number, is obtained.","PeriodicalId":53863,"journal":{"name":"Annales Universitatis Paedagogicae Cracoviensis-Studia Mathematica","volume":"37 18 1","pages":"157 - 165"},"PeriodicalIF":0.9,"publicationDate":"2019-09-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"77862424","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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