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Centrally-extended generalized Jordan derivations in rings 环上的中心扩展广义约当导
IF 0.9
Annales Universitatis Paedagogicae Cracoviensis-Studia Mathematica Pub Date : 2023-01-01 DOI: 10.2478/aupcsm-2023-0004
Bharat Bhushan, G. Sandhu, D. Kumar
{"title":"Centrally-extended generalized Jordan derivations in rings","authors":"Bharat Bhushan, G. Sandhu, D. Kumar","doi":"10.2478/aupcsm-2023-0004","DOIUrl":"https://doi.org/10.2478/aupcsm-2023-0004","url":null,"abstract":"Abstract In this article, we introduce the notion of centrally-extended generalized Jordan derivations and characterize the structure of a prime ring (resp. *-prime ring) R that admits a centrally-extended generalized Jordan derivation F satisfying [F(x), x] ∈ Z(R) (resp. [F(x), x*] ∈ Z(R)) for all x ∈ R.","PeriodicalId":53863,"journal":{"name":"Annales Universitatis Paedagogicae Cracoviensis-Studia Mathematica","volume":null,"pages":null},"PeriodicalIF":0.9,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"73868958","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
K-functional related to the Deformed Hankel Transform 与变形汉克尔变换相关的k泛函
IF 0.9
Annales Universitatis Paedagogicae Cracoviensis-Studia Mathematica Pub Date : 2023-01-01 DOI: 10.2478/aupcsm-2023-0002
L. Rakhimi, Abdelmajid Khadari, R. Daher
{"title":"K-functional related to the Deformed Hankel Transform","authors":"L. Rakhimi, Abdelmajid Khadari, R. Daher","doi":"10.2478/aupcsm-2023-0002","DOIUrl":"https://doi.org/10.2478/aupcsm-2023-0002","url":null,"abstract":"Abstract The main result of the paper is the proof of the equivalence theorem for a K-functional and a modulus of smoothness for the Deformed Hankel Transform. Before that, we introduce the K-functional associated to the Deformed Hankel Transform.","PeriodicalId":53863,"journal":{"name":"Annales Universitatis Paedagogicae Cracoviensis-Studia Mathematica","volume":null,"pages":null},"PeriodicalIF":0.9,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"83485441","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
Necessary and sufficient conditions for the inclusion relation between two summability methods 两种可和性方法之间包含关系的充分必要条件
IF 0.9
Annales Universitatis Paedagogicae Cracoviensis-Studia Mathematica Pub Date : 2023-01-01 DOI: 10.2478/aupcsm-2023-0001
B. Kartal
{"title":"Necessary and sufficient conditions for the inclusion relation between two summability methods","authors":"B. Kartal","doi":"10.2478/aupcsm-2023-0001","DOIUrl":"https://doi.org/10.2478/aupcsm-2023-0001","url":null,"abstract":"Abstract In this paper, a general theorem gives necessary and sufficient conditions for the inclusion relation between φ – |A, β ; δ|k and φ – |B, β ; δ|k methods is proved.","PeriodicalId":53863,"journal":{"name":"Annales Universitatis Paedagogicae Cracoviensis-Studia Mathematica","volume":null,"pages":null},"PeriodicalIF":0.9,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"82242376","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 results of self-similar solutions of the space-fractional diffusion equation involving the generalized Riesz-Caputo fractional derivative 包含广义Riesz-Caputo分数阶导数的空间分数阶扩散方程自相似解的存在性结果
IF 0.9
Annales Universitatis Paedagogicae Cracoviensis-Studia Mathematica Pub Date : 2023-01-01 DOI: 10.2478/aupcsm-2023-0005
Nora Ouagueni, Yacine Arioua, Noureddine Benhamidouche
{"title":"Existence results of self-similar solutions of the space-fractional diffusion equation involving the generalized Riesz-Caputo fractional derivative","authors":"Nora Ouagueni, Yacine Arioua, Noureddine Benhamidouche","doi":"10.2478/aupcsm-2023-0005","DOIUrl":"https://doi.org/10.2478/aupcsm-2023-0005","url":null,"abstract":"Abstract In this paper, we have discussed the problem of existence and uniqueness of solutions under the self-similar form to the space-fractional diffusion equation. The space-fractional derivative which will be used is the generalized Riesz-Caputo fractional derivative. Based on the similarity variable η, we have introduced the equation satisfied by the self-similar solutions for the aforementioned problem. To study the existence and uniqueness of self-similar solutions for this problem, we have applied some known fixed point theorems (i.e. Banach’s contraction principle, Schauder’s fixed point theorem and the nonlinear alternative of Leray-Schauder type).","PeriodicalId":53863,"journal":{"name":"Annales Universitatis Paedagogicae Cracoviensis-Studia Mathematica","volume":null,"pages":null},"PeriodicalIF":0.9,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"80917549","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
Algebraic points on the hyperelliptic curves y2 = x5 + n2 超椭圆曲线上的代数点y2 = x5 + n2
IF 0.9
Annales Universitatis Paedagogicae Cracoviensis-Studia Mathematica Pub Date : 2023-01-01 DOI: 10.2478/aupcsm-2023-0003
Moustapha Camara, Moussa Fall, Oumar Sall
{"title":"Algebraic points on the hyperelliptic curves y2 = x5 + n2","authors":"Moustapha Camara, Moussa Fall, Oumar Sall","doi":"10.2478/aupcsm-2023-0003","DOIUrl":"https://doi.org/10.2478/aupcsm-2023-0003","url":null,"abstract":"Abstract We give an algebraic description of the set of algebraic points of degree at most d over ℚ on hyperelliptic curves y2 = x5 + n2.","PeriodicalId":53863,"journal":{"name":"Annales Universitatis Paedagogicae Cracoviensis-Studia Mathematica","volume":null,"pages":null},"PeriodicalIF":0.9,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"73396357","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
Error recognition in the Cantor cube 康托立方体中的错误识别
IF 0.9
Annales Universitatis Paedagogicae Cracoviensis-Studia Mathematica Pub Date : 2023-01-01 DOI: 10.2478/aupcsm-2023-0006
P. Pasteczka
{"title":"Error recognition in the Cantor cube","authors":"P. Pasteczka","doi":"10.2478/aupcsm-2023-0006","DOIUrl":"https://doi.org/10.2478/aupcsm-2023-0006","url":null,"abstract":"Abstract Based on the notion of thin sets introduced recently by T. Banakh, Sz. Głąb, E. Jabłońska and J. Swaczyna we deliver a study of the infinite single-message transmission protocols. Such protocols are associated with a set of admissible messages (i.e. subsets of the Cantor cube ℤ2ω). Using Banach-Mazur games we prove that all protocols detecting errors are Baire spaces and generic (in particular maximal) ones are not neither Borel nor meager. We also show that the Cantor cube can be decomposed to two thin sets which can be considered as the infinite counterpart of the parity bit. This result is related to so-called xor-sets defined by D. Niwiński and E. Kopczyński in 2014.","PeriodicalId":53863,"journal":{"name":"Annales Universitatis Paedagogicae Cracoviensis-Studia Mathematica","volume":null,"pages":null},"PeriodicalIF":0.9,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"79817134","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
Independence concepts for groupoids 群类群的独立性概念
IF 0.9
Annales Universitatis Paedagogicae Cracoviensis-Studia Mathematica Pub Date : 2023-01-01 DOI: 10.2478/aupcsm-2023-0007
A. Rezaei, H. Kim, A. Saeid
{"title":"Independence concepts for groupoids","authors":"A. Rezaei, H. Kim, A. Saeid","doi":"10.2478/aupcsm-2023-0007","DOIUrl":"https://doi.org/10.2478/aupcsm-2023-0007","url":null,"abstract":"Abstract In this paper, for getting more results in groupoids, we consider a set and introduce the notion of a right (left) independent subset of a groupoid, and it is studied in detail. As a corollary of these properties, the following important result is proved: for any groupoid, there is a maximal right (left) independent subset. Moreover, the notion of strongly right (left) independent subset is considered. It is proved that there exists a groupoid having a strongly right independent 2-set. Finally, we discuss the notion of dynamic elements with independence.","PeriodicalId":53863,"journal":{"name":"Annales Universitatis Paedagogicae Cracoviensis-Studia Mathematica","volume":null,"pages":null},"PeriodicalIF":0.9,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"87561934","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 absolute summability of infinite series and Fourier series 无穷级数和傅里叶级数的绝对可和性
Annales Universitatis Paedagogicae Cracoviensis-Studia Mathematica Pub Date : 2023-01-01 DOI: 10.2478/aupcsm-2023-0010
Hikmet Seyhan Özarslan
{"title":"On absolute summability of infinite series and Fourier series","authors":"Hikmet Seyhan Özarslan","doi":"10.2478/aupcsm-2023-0010","DOIUrl":"https://doi.org/10.2478/aupcsm-2023-0010","url":null,"abstract":"Abstract In the present paper, a theorem on θ −| T; δ | k summability method of an infinite series is proved, and also by using this method, a result on summability of a trigonometric Fourier series is obtained.","PeriodicalId":53863,"journal":{"name":"Annales Universitatis Paedagogicae Cracoviensis-Studia Mathematica","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135497660","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 Hardy type integral inequalities with two parameters of summation 两个参数求和的Hardy型积分不等式
IF 0.9
Annales Universitatis Paedagogicae Cracoviensis-Studia Mathematica Pub Date : 2023-01-01 DOI: 10.2478/aupcsm-2023-0008
Noureddine Azzouz, B. Benaissa, A. Senouci
{"title":"Some Hardy type integral inequalities with two parameters of summation","authors":"Noureddine Azzouz, B. Benaissa, A. Senouci","doi":"10.2478/aupcsm-2023-0008","DOIUrl":"https://doi.org/10.2478/aupcsm-2023-0008","url":null,"abstract":"Abstract In the present work, some Hardy-type integral inequalities were proved for two parameters of summation q ≤ p < 0 and p < 0, q > 0. In addition, some two-sided estimates are obtained.","PeriodicalId":53863,"journal":{"name":"Annales Universitatis Paedagogicae Cracoviensis-Studia Mathematica","volume":null,"pages":null},"PeriodicalIF":0.9,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"83852364","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
q-Cesàro double sequence space ℒ˜sq$$tilde {cal L}_s^q$$ derived by q-analog 通过q-类比推导出q-Cesàro双序列空间∑～ sq $$tilde {cal L}_s^q$$
IF 0.9
Annales Universitatis Paedagogicae Cracoviensis-Studia Mathematica Pub Date : 2023-01-01 DOI: 10.2478/aupcsm-2023-0009
Sezer Erdem, Serkan Demiriz
{"title":"q-Cesàro double sequence space ℒ˜sq$$tilde {cal L}_s^q$$ derived by q-analog","authors":"Sezer Erdem, Serkan Demiriz","doi":"10.2478/aupcsm-2023-0009","DOIUrl":"https://doi.org/10.2478/aupcsm-2023-0009","url":null,"abstract":"Abstract This study includes the new Banach space ℒ˜sq$$tilde {cal L}_s^q$$ designed as the domain in 𝓛s space of the 4d (4-dimensional) q-Cesàro matrix obtained as the q-analog of the well-known 4d Cesàro matrix. After showing the completeness of the aforementioned space, giving some inclusion relations, determining the fundamental set of this space and calculating the duals, finally, some matrix transformations related to the new space were characterized.","PeriodicalId":53863,"journal":{"name":"Annales Universitatis Paedagogicae Cracoviensis-Studia Mathematica","volume":null,"pages":null},"PeriodicalIF":0.9,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"74445409","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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