. 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.
{"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}
{"title":"Anisotropic nonlinear elliptic system with degenerate coercivity and L^m data","authors":"Nour Elhouda Allaoui, Fares Mokhtari","doi":"10.7153/jmi-2023-17-80","DOIUrl":"https://doi.org/10.7153/jmi-2023-17-80","url":null,"abstract":"","PeriodicalId":49165,"journal":{"name":"Journal of Mathematical Inequalities","volume":"165 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":"135002949","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}
{"title":"Sharp bounds on the fourth-order Hermitian Toeplitz determinant for starlike functions of order 1/2","authors":"Yong Sun, Zhi-Gang Wang, Huo Tang","doi":"10.7153/jmi-2023-17-63","DOIUrl":"https://doi.org/10.7153/jmi-2023-17-63","url":null,"abstract":"","PeriodicalId":49165,"journal":{"name":"Journal of Mathematical Inequalities","volume":"148 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":"136373242","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}
{"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}
Yuming Chu, M. U. Awan, Sadia Talib, M. Noor, K. Noor
. 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.
{"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}
. 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
{"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}
{"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}
. 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.
． 研究了乘积域上沿旋转曲面的奇异积分算子的映射性质。对于几类曲面，我们证明了这些奇异积分算子及其对应的极大算子的锐利的L p界(1 < p <)。在奇异核的最优条件下，利用这些算子的L - p界和一个外推论证，得到了这些算子的L - p有界性。我们的结果扩展和改进了许多作者以前得到的一些结果。
{"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}
{"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}
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