{"title":"On the convexity of some trace functions","authors":"Guanghua Shi","doi":"10.7153/jmi-2023-17-66","DOIUrl":"https://doi.org/10.7153/jmi-2023-17-66","url":null,"abstract":"","PeriodicalId":49165,"journal":{"name":"Journal of Mathematical Inequalities","volume":"22 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":"135002619","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 generalized singular number of positive matrix of τ measurable operators","authors":"Maktagul Alday, Madi Raikhan","doi":"10.7153/jmi-2023-17-65","DOIUrl":"https://doi.org/10.7153/jmi-2023-17-65","url":null,"abstract":"","PeriodicalId":49165,"journal":{"name":"Journal of Mathematical Inequalities","volume":"69 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":"136373228","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}
. In this paper, we establish some new Lyapunov-type inequalities for Langevin equations involving derivatives of fractional orders with two classes of two-point boundary conditions, which have generalized some previous results.
{"title":"Lyapunov-type inequalities for fractional Langevin differential equations","authors":"Zaid Laadjal, Q. Ma","doi":"10.7153/jmi-2023-17-05","DOIUrl":"https://doi.org/10.7153/jmi-2023-17-05","url":null,"abstract":". In this paper, we establish some new Lyapunov-type inequalities for Langevin equations involving derivatives of fractional orders with two classes of two-point boundary conditions, which have generalized some previous results.","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":"71165569","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}
. As an interesting generalization involving the interval-valued convex functions, the interval-valued exponential trigonometric convex function is fi rstly introduced, and their meaningful properties are then investigated. Meanwhile, certain Hermite–Hadamard-and Pachpatte-type integral inclusion relations are also developed via the newly proposed functions in interval-valued fractional calculus. In particular, an improved version of the Hermite–Hadamard’s integral inclusions pertaining to the interval-valued exponential trigonometric convex functions is proposed as well. To identify the correctness of the derived inclusion relations in the study, the graphical representations for the outcomes are provided in terms of the change of the parameter α .
{"title":"Certain fractional integral inclusions pertaining to interval-valued exponential trigonometric convex functions","authors":"Taic un Zhou, T. Du","doi":"10.7153/jmi-2023-17-20","DOIUrl":"https://doi.org/10.7153/jmi-2023-17-20","url":null,"abstract":". As an interesting generalization involving the interval-valued convex functions, the interval-valued exponential trigonometric convex function is fi rstly introduced, and their meaningful properties are then investigated. Meanwhile, certain Hermite–Hadamard-and Pachpatte-type integral inclusion relations are also developed via the newly proposed functions in interval-valued fractional calculus. In particular, an improved version of the Hermite–Hadamard’s integral inclusions pertaining to the interval-valued exponential trigonometric convex functions is proposed as well. To identify the correctness of the derived inclusion relations in the study, the graphical representations for the outcomes are provided in terms of the change of the parameter α .","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":"71166023","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}
. In this paper, we generalize the concept of Quantum calculus on fi nite intervals called symmetric quantum calculus over fi nite intervals. We de fi ne q s -symmetric derivative and q s - symmetric integral for a real valued function. We also prove quantum symmetric analogue of some integral inequalities over fi nite interval.
{"title":"Quantum symmetric analogue of various integral inequalities over finite intervals","authors":"Mohd Bilal, Akhlad Iqbal, Sachin Rastogi","doi":"10.7153/jmi-2023-17-40","DOIUrl":"https://doi.org/10.7153/jmi-2023-17-40","url":null,"abstract":". In this paper, we generalize the concept of Quantum calculus on fi nite intervals called symmetric quantum calculus over fi nite intervals. We de fi ne q s -symmetric derivative and q s - symmetric integral for a real valued function. We also prove quantum symmetric analogue of some integral inequalities over fi nite interval.","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":"71166447","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":"Complete f-moment convergence for negatively superadditive dependent random variables","authors":"Li liu Wang, Xuep ng Hu, Kem ng Yu","doi":"10.7153/jmi-2023-17-49","DOIUrl":"https://doi.org/10.7153/jmi-2023-17-49","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":"71166748","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":"Dimension-free estimates for Hardy-Littlewood maximal functions with mixed homogeneities","authors":"Panw ng Wang, Xud ng Nie","doi":"10.7153/jmi-2023-17-51","DOIUrl":"https://doi.org/10.7153/jmi-2023-17-51","url":null,"abstract":"","PeriodicalId":49165,"journal":{"name":"Journal of Mathematical Inequalities","volume":"14 1","pages":""},"PeriodicalIF":2.9,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"71166798","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":"Further refinements of the Tan-Xie inequality for sector matrices and its applications","authors":"Yong ui Ren","doi":"10.7153/jmi-2023-17-78","DOIUrl":"https://doi.org/10.7153/jmi-2023-17-78","url":null,"abstract":"","PeriodicalId":49165,"journal":{"name":"Journal of Mathematical Inequalities","volume":"80 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":"135002611","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":"Numerical radius of products of special matrices","authors":"Mohammad Alakhrass","doi":"10.7153/jmi-2023-17-64","DOIUrl":"https://doi.org/10.7153/jmi-2023-17-64","url":null,"abstract":"","PeriodicalId":49165,"journal":{"name":"Journal of Mathematical Inequalities","volume":"68 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":"135002635","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}
In this paper, we study some properties such as the monotonicity, logarithmically complete monotonicity, logarithmic convexity, and geometric convexity, of the combinations of gamma function and power function. The results we obtain generalize some related known results for parameters with specific values.
{"title":"Monotonicity, convexity, and inequalities for functions involving gamma function","authors":"Pei ei Du, Gendi Wang","doi":"10.7153/jmi-2023-17-67","DOIUrl":"https://doi.org/10.7153/jmi-2023-17-67","url":null,"abstract":"In this paper, we study some properties such as the monotonicity, logarithmically complete monotonicity, logarithmic convexity, and geometric convexity, of the combinations of gamma function and power function. The results we obtain generalize some related known results for parameters with specific values.","PeriodicalId":49165,"journal":{"name":"Journal of Mathematical Inequalities","volume":"77 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":"136372941","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}
京公网安备 11010802042870号
京ICP备2023020795号-1
扫码关注我们
求助内容：
应助结果提醒方式：