{"title":"Further properties of 2-inner product spaces","authors":"Abbas Alipour, Mohammad Hadi Akhbari","doi":"10.7153/jmi-2023-17-75","DOIUrl":"https://doi.org/10.7153/jmi-2023-17-75","url":null,"abstract":"","PeriodicalId":49165,"journal":{"name":"Journal of Mathematical Inequalities","volume":"35 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":"136372978","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 bound of m-linear n-dimensional p-adic Hausdorff operators on p-adic Morrey spaces","authors":"Xi an Zhang, Qian un He, Xi ng Li","doi":"10.7153/jmi-2023-17-79","DOIUrl":"https://doi.org/10.7153/jmi-2023-17-79","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":"136373189","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}
. In this paper we present estimation formulas for the expectations of power means of large data and associate them with means of probability distribution and means of random sample. The proposed method follows from the asymptotic expansion of power means which is applicable for suf fi ciently large data and it is especially useful when value of such expectation is hard to obtain. We will show the accuracy of these approximations for random samples which have uniform and normal distribution and analyse their behaviour for large sample volume.
{"title":"Expectations of large data means","authors":"Tomislav Buric, N. Elezovic, Lenka Mihoković","doi":"10.7153/jmi-2023-17-27","DOIUrl":"https://doi.org/10.7153/jmi-2023-17-27","url":null,"abstract":". In this paper we present estimation formulas for the expectations of power means of large data and associate them with means of probability distribution and means of random sample. The proposed method follows from the asymptotic expansion of power means which is applicable for suf fi ciently large data and it is especially useful when value of such expectation is hard to obtain. We will show the accuracy of these approximations for random samples which have uniform and normal distribution and analyse their behaviour for large sample volume.","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":"71166198","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}
Tao Zhang, Alatancang Chen, Bo-Yan Xi, Huan-Nan Shi
{"title":"The relationship between r-convexity and Schur-convexity and its application","authors":"Tao Zhang, Alatancang Chen, Bo-Yan Xi, Huan-Nan Shi","doi":"10.7153/jmi-2023-17-74","DOIUrl":"https://doi.org/10.7153/jmi-2023-17-74","url":null,"abstract":"","PeriodicalId":49165,"journal":{"name":"Journal of Mathematical Inequalities","volume":"23 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":"136373195","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 assume that the forecast error follows a probability distribution which is symmetric and monotonically non-increasing on non-negative real numbers, and if there is a mismatch between observed and predicted value, then we suffer a loss. Under the assumptions, we solve a minimization problem with an asymmetric loss function. In addition, we give an inequality for the variance of the loss.
{"title":"Inequality for the variance of an asymmetric loss","authors":"Naoya Yamaguchi, Yuka Yamaguchi, Maiya Hori","doi":"10.7153/jmi-2023-17-58","DOIUrl":"https://doi.org/10.7153/jmi-2023-17-58","url":null,"abstract":"We assume that the forecast error follows a probability distribution which is symmetric and monotonically non-increasing on non-negative real numbers, and if there is a mismatch between observed and predicted value, then we suffer a loss. Under the assumptions, we solve a minimization problem with an asymmetric loss function. In addition, we give an inequality for the variance of the loss.","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":"136373500","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 de fi ne the commutators of fractional integral operators and Calder´on-Zygmund singular integral operators on differential forms, and give the suf fi cient and necessary conditions for these commutators to be bounded on weighted Lebesgue spaces. As an application, the Caccioppoli-type inequalities with Orlicz norm for commutators of Calder´on-Zygmund singular integral operators on differential forms are obtained.
{"title":"Inequalities for commutators of fractional integrals and singular integrals on differential forms","authors":"Jinl ng Niu, Guan an Shi, S. Ding, Yuming Xing","doi":"10.7153/jmi-2023-17-28","DOIUrl":"https://doi.org/10.7153/jmi-2023-17-28","url":null,"abstract":". In this paper, we de fi ne the commutators of fractional integral operators and Calder´on-Zygmund singular integral operators on differential forms, and give the suf fi cient and necessary conditions for these commutators to be bounded on weighted Lebesgue spaces. As an application, the Caccioppoli-type inequalities with Orlicz norm for commutators of Calder´on-Zygmund singular integral operators on differential forms are obtained.","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":"71166207","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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