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Journal of Mathematical Inequalities最新文献

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A map-type Gronwall inequality on functional differential equations with state-dependence 状态相关泛函微分方程上的映射型Gronwall不等式
IF 2.9 3区 数学
Journal of Mathematical Inequalities Pub Date : 2023-01-01 DOI: 10.7153/jmi-2023-17-08
Jun Zhou
{"title":"A map-type Gronwall inequality on functional differential equations with state-dependence","authors":"Jun Zhou","doi":"10.7153/jmi-2023-17-08","DOIUrl":"https://doi.org/10.7153/jmi-2023-17-08","url":null,"abstract":". In this paper, in order to investigate a Gronwall inequality with state-dependence, another auxiliary map-type Gronwall inequality is discussed by modifying the technique of sequential monotonization on functions into the one on maps. Then we employ the state-dependent Gronwall inequality to give the estimate and boundedness of solutions for a functional differential equation with state-dependence. Finally, we exhibit a concrete example of bounded solutions as application.","PeriodicalId":49165,"journal":{"name":"Journal of Mathematical Inequalities","volume":"1 1","pages":""},"PeriodicalIF":2.9,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"71166107","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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
Approximation of two general functional equations in 2-Banach spaces 2-Banach空间中两个一般泛函方程的逼近
IF 2.9 3区 数学
Journal of Mathematical Inequalities Pub Date : 2023-01-01 DOI: 10.7153/jmi-2023-17-11
Choonkill Park, A. Najati, M. B. Moghimi, B. Noori
{"title":"Approximation of two general functional equations in 2-Banach spaces","authors":"Choonkill Park, A. Najati, M. B. Moghimi, B. Noori","doi":"10.7153/jmi-2023-17-11","DOIUrl":"https://doi.org/10.7153/jmi-2023-17-11","url":null,"abstract":". In this paper, we study the Ulam stability and hyperstability of two general functional equations in several variables in 2-Banach spaces. Multi-additive and multi-Jensen functions are particular cases of these functional equations. We also improve the main results of Theorem 3 and Theorem 4 of [Ciepli´nski, K. Ulam stability of functional equations in 2-Banach spaces via the fi xed point method. J. Fixed Point Theory Appl. 23 (2021","PeriodicalId":49165,"journal":{"name":"Journal of Mathematical Inequalities","volume":"1 1","pages":""},"PeriodicalIF":2.9,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"71166184","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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
Sharp exponential type inequalities for the arc lemniscate sine function with applications 直角正弦函数的尖锐指数型不等式及其应用
IF 2.9 3区 数学
Journal of Mathematical Inequalities Pub Date : 2023-01-01 DOI: 10.7153/jmi-2023-17-33
Jinl ng Niu, Miao-Kun Wang, Wei-Mao Qian, Yuming Chu, Hui-Zuo Xu
{"title":"Sharp exponential type inequalities for the arc lemniscate sine function with applications","authors":"Jinl ng Niu, Miao-Kun Wang, Wei-Mao Qian, Yuming Chu, Hui-Zuo Xu","doi":"10.7153/jmi-2023-17-33","DOIUrl":"https://doi.org/10.7153/jmi-2023-17-33","url":null,"abstract":". In this paper, by proving some monotonicity theorems of certain combinations of the arc lemniscate sine function and elementary functions, we obtain two classes of exponential type inequalities for the arc lemniscate sine function. As applications, sharp bounds for the lemniscatic mean in terms of the arithmetic, harmonic and geometric means are given, which extend some previously known results.","PeriodicalId":49165,"journal":{"name":"Journal of Mathematical Inequalities","volume":"228 1","pages":""},"PeriodicalIF":2.9,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"71166322","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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
Norm-parallelism of Hilbert space operators and the Davis-Wielandt Berezin number Hilbert空间算子的范数并行性和Davis-Wielandt Berezin数
IF 2.9 3区 数学
Journal of Mathematical Inequalities Pub Date : 2023-01-01 DOI: 10.7153/jmi-2023-17-17
M. Alomari, M. Hajmohamadi, M. Bakherad
{"title":"Norm-parallelism of Hilbert space operators and the Davis-Wielandt Berezin number","authors":"M. Alomari, M. Hajmohamadi, M. Bakherad","doi":"10.7153/jmi-2023-17-17","DOIUrl":"https://doi.org/10.7153/jmi-2023-17-17","url":null,"abstract":". In this work, the concept of the Davis-Wielandt Berezin number is introduced. Some upper and lower bounds for the Davis-Wielandt Berezin number are introduced. A connection between norm-parallelism to the identity operator and an equality condition for the Davis-Wielandt Berezin number are also discussed. Some bounds for the Davis-Wielandt Berezin number for n × n operator matrices are established.","PeriodicalId":49165,"journal":{"name":"Journal of Mathematical Inequalities","volume":"1 1","pages":""},"PeriodicalIF":2.9,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"71166421","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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
Fractional quantum analogues of trapezoid like inequalities 类梯形不等式的分数阶量子类似物
IF 2.9 3区 数学
Journal of Mathematical Inequalities Pub Date : 2023-01-01 DOI: 10.7153/jmi-2023-17-03
Yuming Chu, M. U. Awan, Sadia Talib, M. Noor, K. Noor
{"title":"Fractional quantum analogues of trapezoid like inequalities","authors":"Yuming Chu, M. U. Awan, Sadia Talib, M. Noor, K. Noor","doi":"10.7153/jmi-2023-17-03","DOIUrl":"https://doi.org/10.7153/jmi-2023-17-03","url":null,"abstract":". We derive two new fractional quantum integral identities. Using these identities we obtain several new fractional quantum estimates of trapezoid like inequalities essentially using the class of preinvex functions.","PeriodicalId":49165,"journal":{"name":"Journal of Mathematical Inequalities","volume":"1 1","pages":""},"PeriodicalIF":2.9,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"71165542","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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
Improved matrix inequalities using radical convexity 利用根凸性改进矩阵不等式
IF 2.9 3区 数学
Journal of Mathematical Inequalities Pub Date : 2023-01-01 DOI: 10.7153/jmi-2023-17-24
M. Sababheh, S. Furuichi, H. Moradi
{"title":"Improved matrix inequalities using radical convexity","authors":"M. Sababheh, S. Furuichi, H. Moradi","doi":"10.7153/jmi-2023-17-24","DOIUrl":"https://doi.org/10.7153/jmi-2023-17-24","url":null,"abstract":". Convex functions have a key role in mathematical inequalities. In this paper, we employ radical convexity as a tool that enables us to obtain much sharper bounds than usual bounds obtained by convexity. Applications of our approach will include real functions and matrices","PeriodicalId":49165,"journal":{"name":"Journal of Mathematical Inequalities","volume":"1 1","pages":""},"PeriodicalIF":2.9,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"71166134","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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
Another proof of Hrölder's inequality 另一个Hrölder不等式的证明
IF 2.9 3区 数学
Journal of Mathematical Inequalities Pub Date : 2023-01-01 DOI: 10.7153/jmi-2023-17-13
Seo ho Jin, Kwang Seob Kim
{"title":"Another proof of Hrölder's inequality","authors":"Seo ho Jin, Kwang Seob Kim","doi":"10.7153/jmi-2023-17-13","DOIUrl":"https://doi.org/10.7153/jmi-2023-17-13","url":null,"abstract":"","PeriodicalId":49165,"journal":{"name":"Journal of Mathematical Inequalities","volume":"1 1","pages":""},"PeriodicalIF":2.9,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"71166296","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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 singular integrals and maximal operators along surfaces of revolution on product domains 乘积域上沿旋转曲面的奇异积分和极大算子
IF 2.9 3区 数学
Journal of Mathematical Inequalities Pub Date : 2023-01-01 DOI: 10.7153/jmi-2023-17-48
AL Hussain, Qassem, L. Cheng
{"title":"On singular integrals and maximal operators along surfaces of revolution on product domains","authors":"AL Hussain, Qassem, L. Cheng","doi":"10.7153/jmi-2023-17-48","DOIUrl":"https://doi.org/10.7153/jmi-2023-17-48","url":null,"abstract":". We study the mapping properties of singular integral operators along surfaces of revo-lutions on product domains. For several classes of surfaces, we prove sharp L p bounds ( 1 < p <  ) for these singular integral operators as well as their corresponding maximal operators. By using these L p bounds and an extrapolation argument we obtain the L p boundedness of these operators under optimal conditions on the singular kernels. Our results extend and improve several results previously obtained by many authors.","PeriodicalId":49165,"journal":{"name":"Journal of Mathematical Inequalities","volume":"1 1","pages":""},"PeriodicalIF":2.9,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"71166704","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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
Nonexistence and existence of positive ground state solutions for generalized quasilinear Schrödinger equations 广义拟线性Schrödinger方程的不存在性和正基态解的存在性
IF 2.9 3区 数学
Journal of Mathematical Inequalities Pub Date : 2023-01-01 DOI: 10.7153/jmi-2023-17-52
Yunf ng Wei, Caish ng Chen, Hongw ng Yu, Rui Hu
{"title":"Nonexistence and existence of positive ground state solutions for generalized quasilinear Schrödinger equations","authors":"Yunf ng Wei, Caish ng Chen, Hongw ng Yu, Rui Hu","doi":"10.7153/jmi-2023-17-52","DOIUrl":"https://doi.org/10.7153/jmi-2023-17-52","url":null,"abstract":"","PeriodicalId":49165,"journal":{"name":"Journal of Mathematical Inequalities","volume":"1 1","pages":""},"PeriodicalIF":2.9,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"71166809","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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 several inequalities related to convex functions 关于凸函数的几个不等式
3区 数学
Journal of Mathematical Inequalities Pub Date : 2023-01-01 DOI: 10.7153/jmi-2023-17-70
Nicuşor Minculete
{"title":"On several inequalities related to convex functions","authors":"Nicuşor Minculete","doi":"10.7153/jmi-2023-17-70","DOIUrl":"https://doi.org/10.7153/jmi-2023-17-70","url":null,"abstract":"","PeriodicalId":49165,"journal":{"name":"Journal of Mathematical Inequalities","volume":"116 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135002955","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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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