{"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}
. Let (cid:2) p ∈ ( 0 , ∞ ) n , A be an expansive dilation on R n , and H (cid:2) pA ( R n ) be the anisotropic mixed-norm Hardy space de fi ned via the non-tangential grand maximal function. In this paper, the authors establish its molecular decomposition. As an application, the authors obtain the boundedness of a class of singular integral operators from H (cid:2) pA ( R n ) to H (cid:2) pA ( R n ) . These results are still new even in the classical isotropic setting (in the case A : = 2I n × n ).
． 让p (cid: 2)∈n(0 - 9),∞),A be an expansive dilation on n, R和H (cid: 2) pA (R n)成为《anisotropic mixed-norm哈迪通过《太空defi斯内德non-tangential大最高功能。在这篇论文中，权威建立了分子分解。美国应用程序，当局发现H (cid:2) pA (R)到H (cid:2) pA (R)甚至这些results是还是新古典isotropic设置(《凯斯》A: = 2I n×n)。
{"title":"The molecular decomposition of anisotropic mixed-norm Hardy spaces and their application","authors":"Kang Hu, Qingd ng Guo","doi":"10.7153/jmi-2023-17-04","DOIUrl":"https://doi.org/10.7153/jmi-2023-17-04","url":null,"abstract":". Let (cid:2) p ∈ ( 0 , ∞ ) n , A be an expansive dilation on R n , and H (cid:2) pA ( R n ) be the anisotropic mixed-norm Hardy space de fi ned via the non-tangential grand maximal function. In this paper, the authors establish its molecular decomposition. As an application, the authors obtain the boundedness of a class of singular integral operators from H (cid:2) pA ( R n ) to H (cid:2) pA ( R n ) . These results are still new even in the classical isotropic setting (in the case A : = 2I n × n ).","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":"71165557","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}
. The multiplicative sum Zagreb index of a graph G is the product of the sums of degrees of pairs of adjacent vertices. In this paper, the maximal and minimal multiplicative sum Zagreb indices of trees with fi xed domination number are presented. Furthermore, the corresponding extremal trees are identi fi ed.
{"title":"On multiplicative sum Zagreb index of trees with fixed domination number","authors":"Xiaol ng Sun, Yu in Gao, Jian ei Du","doi":"10.7153/jmi-2023-17-06","DOIUrl":"https://doi.org/10.7153/jmi-2023-17-06","url":null,"abstract":". The multiplicative sum Zagreb index of a graph G is the product of the sums of degrees of pairs of adjacent vertices. In this paper, the maximal and minimal multiplicative sum Zagreb indices of trees with fi xed domination number are presented. Furthermore, the corresponding extremal trees are identi fi ed.","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":"71165682","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 give a lower bound on the mean of squares of distances between the points in two sets in terms of the products of distances between the points in each of those two sets. These results imply lower bounds on the p th power ( p (cid:2) 2) of the average distance between the conjugates of an algebraic integer and of the same quantity between the conjugates of a totally real algebraic integer.
{"title":"Algebraic integers with small potential energy","authors":"A. Dubickas","doi":"10.7153/jmi-2023-17-10","DOIUrl":"https://doi.org/10.7153/jmi-2023-17-10","url":null,"abstract":". In this paper we give a lower bound on the mean of squares of distances between the points in two sets in terms of the products of distances between the points in each of those two sets. These results imply lower bounds on the p th power ( p (cid:2) 2) of the average distance between the conjugates of an algebraic integer and of the same quantity between the conjugates of a totally real algebraic integer.","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":"71166170","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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