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Approximation of Jensen type reciprocal mappings via fixed point technique 用不动点技术逼近Jensen型倒易映射
IF 0.9 4区 数学
Miskolc Mathematical Notes Pub Date : 2022-01-01 DOI: 10.18514/mmn.2022.3631
H. Dutta, B. S. Kumar, K. Al-Shaqsi
{"title":"Approximation of Jensen type reciprocal mappings via fixed point technique","authors":"H. Dutta, B. S. Kumar, K. Al-Shaqsi","doi":"10.18514/mmn.2022.3631","DOIUrl":"https://doi.org/10.18514/mmn.2022.3631","url":null,"abstract":"In this paper, we solve a new Jensen type m-dimensional multiplicative inverse functional equation and then its various stability problems in the setting of non-negative real numbers and non-Archimedean spaces via fixed point method. The functional equation dealt in this study is linked with the famous relationship between arithmetic and harmonic mean of m values. The role of harmonic mean is very significant in many other fields such as traffic flow theory, industrial engineering, communication system, etc. By inversing the arithmetic mean of reciprocal values, we attain the harmonic mean. This property could be analyzed as an inverse problem via the functional equation dealt in this investigation.","PeriodicalId":49806,"journal":{"name":"Miskolc Mathematical Notes","volume":"1 1","pages":""},"PeriodicalIF":0.9,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"68201557","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
On (p, φ_h)-convex function and its applications 关于(p， φ_h)-凸函数及其应用
IF 0.9 4区 数学
Miskolc Mathematical Notes Pub Date : 2022-01-01 DOI: 10.18514/mmn.2022.3105
M. Sarıkaya, Hatice Öğülmüş, Fatma Ertuğral
{"title":"On (p, φ_h)-convex function and its applications","authors":"M. Sarıkaya, Hatice Öğülmüş, Fatma Ertuğral","doi":"10.18514/mmn.2022.3105","DOIUrl":"https://doi.org/10.18514/mmn.2022.3105","url":null,"abstract":"","PeriodicalId":49806,"journal":{"name":"Miskolc Mathematical Notes","volume":"1 1","pages":""},"PeriodicalIF":0.9,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"68200143","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","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 Diophantine equations z^2=f(x)^2 ± f(y)^2 involving Laurent polynomials II. 关于丢番图方程z^2=f(x)^2±f(y)^2涉及洛朗多项式II。
IF 0.9 4区 数学
Miskolc Mathematical Notes Pub Date : 2022-01-01 DOI: 10.18514/mmn.2022.3664
Yong Zhang, Qiongzhi Tang, Yun Zhang
{"title":"On the Diophantine equations z^2=f(x)^2 ± f(y)^2 involving Laurent polynomials II.","authors":"Yong Zhang, Qiongzhi Tang, Yun Zhang","doi":"10.18514/mmn.2022.3664","DOIUrl":"https://doi.org/10.18514/mmn.2022.3664","url":null,"abstract":"","PeriodicalId":49806,"journal":{"name":"Miskolc Mathematical Notes","volume":"1 1","pages":""},"PeriodicalIF":0.9,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"68201336","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
New existence and uniqueness result for fractional Bagley-Torvik differential equation 分数阶Bagley-Torvik微分方程的存在唯一性新结果
IF 0.9 4区 数学
Miskolc Mathematical Notes Pub Date : 2022-01-01 DOI: 10.18514/mmn.2022.3702
H. Baghani, Michal Feckan, Javad Farokhi-ostad, J. Alzabut
{"title":"New existence and uniqueness result for fractional Bagley-Torvik differential equation","authors":"H. Baghani, Michal Feckan, Javad Farokhi-ostad, J. Alzabut","doi":"10.18514/mmn.2022.3702","DOIUrl":"https://doi.org/10.18514/mmn.2022.3702","url":null,"abstract":"Inspired by the paper of Fazli and Nieto in [Open Math. 17 (2019) 499–512], we establish new existence and uniqueness result for a type of fractional Bagley–Torvik differential equation. Reported result not only generalizes previous results but also adopts different technique. We finish this study by concluding remarks which discuss the preference of our theorem compared to previous results. An example is constructed with specific parameters that requires weaker conditions for the existence of a unique solution. Meanwhile, we construct an iterative sequence that converges to the unique solution and can not be commented via the results of Fazli and Nieto.","PeriodicalId":49806,"journal":{"name":"Miskolc Mathematical Notes","volume":"1 1","pages":""},"PeriodicalIF":0.9,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"68201863","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
New geometric viewpoints to Chen chaotic system 陈混沌系统的新几何视点
IF 0.9 4区 数学
Miskolc Mathematical Notes Pub Date : 2022-01-01 DOI: 10.18514/mmn.2022.3787
Xiaoting Lu, Yongjian Liu, Aimin Liu, Chunsheng Feng
{"title":"New geometric viewpoints to Chen chaotic system","authors":"Xiaoting Lu, Yongjian Liu, Aimin Liu, Chunsheng Feng","doi":"10.18514/mmn.2022.3787","DOIUrl":"https://doi.org/10.18514/mmn.2022.3787","url":null,"abstract":"","PeriodicalId":49806,"journal":{"name":"Miskolc Mathematical Notes","volume":"1 1","pages":""},"PeriodicalIF":0.9,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"68202635","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Bounds for the generalized elliptic integral of the second kind 第二类广义椭圆积分的界
IF 0.9 4区 数学
Miskolc Mathematical Notes Pub Date : 2022-01-01 DOI: 10.18514/mmn.2022.3828
Xiaohui Zhang, Zhixia Xing
{"title":"Bounds for the generalized elliptic integral of the second kind","authors":"Xiaohui Zhang, Zhixia Xing","doi":"10.18514/mmn.2022.3828","DOIUrl":"https://doi.org/10.18514/mmn.2022.3828","url":null,"abstract":"","PeriodicalId":49806,"journal":{"name":"Miskolc Mathematical Notes","volume":"1 1","pages":""},"PeriodicalIF":0.9,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"68202981","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Some notes on modules in which all submodules have a unique closure 关于所有子模块都有唯一闭包的模块的一些注意事项
IF 0.9 4区 数学
Miskolc Mathematical Notes Pub Date : 2022-01-01 DOI: 10.18514/mmn.2022.3876
Özgür Taşdemir
{"title":"Some notes on modules in which all submodules have a unique closure","authors":"Özgür Taşdemir","doi":"10.18514/mmn.2022.3876","DOIUrl":"https://doi.org/10.18514/mmn.2022.3876","url":null,"abstract":"A module M is called a UC-module if whenever every submodule of M has a unique closure. In this paper, we establish new characterizations of several well-studied classes of rings in terms of UC-modules, and show that UC is not a Morita invariant property. In addition, we study the behaviour of UC-modules under excellent extensions of rings.","PeriodicalId":49806,"journal":{"name":"Miskolc Mathematical Notes","volume":"1 1","pages":""},"PeriodicalIF":0.9,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"68203147","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Fejér and Hermite-Hadamard type inequalities for differentiable h-convex and quasi convex functions with applications 可微h-凸函数和拟凸函数的fej<s:1>和Hermite-Hadamard型不等式及其应用
IF 0.9 4区 数学
Miskolc Mathematical Notes Pub Date : 2022-01-01 DOI: 10.18514/mmn.2022.3065
Sofian Talal Obeidat, M. Latif, S. S. Dragomir
{"title":"Fejér and Hermite-Hadamard type inequalities for differentiable h-convex and quasi convex functions with applications","authors":"Sofian Talal Obeidat, M. Latif, S. S. Dragomir","doi":"10.18514/mmn.2022.3065","DOIUrl":"https://doi.org/10.18514/mmn.2022.3065","url":null,"abstract":"","PeriodicalId":49806,"journal":{"name":"Miskolc Mathematical Notes","volume":"1 1","pages":""},"PeriodicalIF":0.9,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"68200031","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
Game-theoretic p-Laplace operator involving the gradient 涉及梯度的博弈论p-拉普拉斯算子
IF 0.9 4区 数学
Miskolc Mathematical Notes Pub Date : 2022-01-01 DOI: 10.18514/mmn.2022.3467
A. Razani
{"title":"Game-theoretic p-Laplace operator involving the gradient","authors":"A. Razani","doi":"10.18514/mmn.2022.3467","DOIUrl":"https://doi.org/10.18514/mmn.2022.3467","url":null,"abstract":"The game-theoretic p-Laplacian operator is a version of classical variational p-Laplacian which is in connection with stochastic games called Tug-of-War with noise. The existence of positive singular and Holder continuous solutions of the game-theoretic p-Laplace operator involving the gradient in a small C2 perturbation of the unit ball in Rn are proved. Finally, a more case problem is introduced.","PeriodicalId":49806,"journal":{"name":"Miskolc Mathematical Notes","volume":"1 1","pages":""},"PeriodicalIF":0.9,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"68201128","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 3
An integral equation in partially ordered sets 偏序集合中的一个积分方程
IF 0.9 4区 数学
Miskolc Mathematical Notes Pub Date : 2022-01-01 DOI: 10.18514/mmn.2022.3626
Mosa Shahsavari, A. Razani, Ghasem Abbasi
{"title":"An integral equation in partially ordered sets","authors":"Mosa Shahsavari, A. Razani, Ghasem Abbasi","doi":"10.18514/mmn.2022.3626","DOIUrl":"https://doi.org/10.18514/mmn.2022.3626","url":null,"abstract":"Here, some fixed point theorems in partially ordered spaces are proved. As an application, the existence of a solution of an integral equation is obtained.","PeriodicalId":49806,"journal":{"name":"Miskolc Mathematical Notes","volume":"1 1","pages":""},"PeriodicalIF":0.9,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"68201420","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","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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