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Mathematical Inequalities & Applications最新文献

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A multilinear Rellich inequality 一个多线性Rellich不等式
IF 1 4区 数学
Mathematical Inequalities & Applications Pub Date : 2021-01-01 DOI: 10.7153/MIA-2021-24-19
D. Edmunds, A. Meskhi
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引用次数: 0
Applications of sections and half volumes in stability 截面和半体积在稳定性中的应用
IF 1 4区 数学
Mathematical Inequalities & Applications Pub Date : 2021-01-01 DOI: 10.7153/mia-2021-24-50
Lu un Guo, Xin Zhang
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引用次数: 0
Means produced by distances 距离产生的均值
IF 1 4区 数学
Mathematical Inequalities & Applications Pub Date : 2021-01-01 DOI: 10.7153/MIA-2021-24-25
Volker Diels-Grabsch, M. Hajja, P. T. Krasopoulos
{"title":"Means produced by distances","authors":"Volker Diels-Grabsch, M. Hajja, P. T. Krasopoulos","doi":"10.7153/MIA-2021-24-25","DOIUrl":"https://doi.org/10.7153/MIA-2021-24-25","url":null,"abstract":". We describe a methodology that can be used to construct new distances which produce many famous means. Its main application is to construct a distance for the logarithmic mean, settling an old open problem. We also use it to construct alternative distances for already known means, such as the arithmetic and all quasi-arithmetic means. Moreover, we show how to construct distances for almost all means that can be obtained from Cauchy’s Mean Value Theorem, and apply this to construct distances for all Stolarsky means. Finally, we show how to construct a distance for a mean M q ( a , b ) = q − 1 ( M ( q ( a ) , q ( b ))) , where M is another mean for which a distance is already known, and q is a monotone bijection to a subinterval.","PeriodicalId":49868,"journal":{"name":"Mathematical Inequalities & Applications","volume":"1 1","pages":""},"PeriodicalIF":1.0,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"71204107","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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
An inequality for the perimeter of the centroid body in the plane 平面上质心体周长的不等式
IF 1 4区 数学
Mathematical Inequalities & Applications Pub Date : 2021-01-01 DOI: 10.7153/mia-2021-24-41
Z. Guerrero-Zarazua, J. Jerónimo-Castro, F. Jimenez-Lopez, Ulises Velasco-García
{"title":"An inequality for the perimeter of the centroid body in the plane","authors":"Z. Guerrero-Zarazua, J. Jerónimo-Castro, F. Jimenez-Lopez, Ulises Velasco-García","doi":"10.7153/mia-2021-24-41","DOIUrl":"https://doi.org/10.7153/mia-2021-24-41","url":null,"abstract":"","PeriodicalId":49868,"journal":{"name":"Mathematical Inequalities & Applications","volume":"1 1","pages":""},"PeriodicalIF":1.0,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"71204256","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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 the generalized von Neumann-Jordan type constant for some concrete Banach spaces 一类具体Banach空间的广义von Neumann-Jordan型常数
IF 1 4区 数学
Mathematical Inequalities & Applications Pub Date : 2021-01-01 DOI: 10.7153/mia-2021-24-42
Zhanfei Zuo, L. Wang, Yongchang Zhao, Yantao Wu
{"title":"On the generalized von Neumann-Jordan type constant for some concrete Banach spaces","authors":"Zhanfei Zuo, L. Wang, Yongchang Zhao, Yantao Wu","doi":"10.7153/mia-2021-24-42","DOIUrl":"https://doi.org/10.7153/mia-2021-24-42","url":null,"abstract":"","PeriodicalId":49868,"journal":{"name":"Mathematical Inequalities & Applications","volume":"1 1","pages":""},"PeriodicalIF":1.0,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"71204265","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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
Matrix-valued positive definite kernels given by expansions: strict positive definiteness 由展开式给出的矩阵值正定核:严格正定性
IF 1 4区 数学
Mathematical Inequalities & Applications Pub Date : 2021-01-01 DOI: 10.7153/mia-2021-24-79
W. Franca, V. Menegatto
{"title":"Matrix-valued positive definite kernels given by expansions: strict positive definiteness","authors":"W. Franca, V. Menegatto","doi":"10.7153/mia-2021-24-79","DOIUrl":"https://doi.org/10.7153/mia-2021-24-79","url":null,"abstract":"Matrix functions of the form (x,y) ∈ Ω × Ω → ∑α Aα fα (x,y) , in which Ω is a nonempty set, the Aα are positive semi-definite matrices of the same fixed order, the fα are complex-valued positive definite kernels on Ω , and the series is convergent for all x and y in Ω define matrix-valued positive definite kernels on Ω . Here, the sum may be multi-indexed, Ω may be endowed with either a topological or a metric structure, and { fα} may inherit properties attached to the setting. In this paper, we present a criterion that establishes an abstract necessary and sufficient condition in order that the kernel is strictly positive definite on Ω . We point some implications and connections of the criterion in some relevant and concrete settings in order to motivate future work on the topic. Mathematics subject classification (2020): 42A82, 42C10, 43A35.","PeriodicalId":49868,"journal":{"name":"Mathematical Inequalities & Applications","volume":"1 1","pages":""},"PeriodicalIF":1.0,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"71204513","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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
An application of the affine shortening flow 仿射缩短流的应用
IF 1 4区 数学
Mathematical Inequalities & Applications Pub Date : 2021-01-01 DOI: 10.7153/mia-2021-24-64
Jia bo Fang, Yunl ng Yang, Fangwei Chen
{"title":"An application of the affine shortening flow","authors":"Jia bo Fang, Yunl ng Yang, Fangwei Chen","doi":"10.7153/mia-2021-24-64","DOIUrl":"https://doi.org/10.7153/mia-2021-24-64","url":null,"abstract":"","PeriodicalId":49868,"journal":{"name":"Mathematical Inequalities & Applications","volume":"1 1","pages":""},"PeriodicalIF":1.0,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"71204593","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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
Maximal operators of T means with respect to Walsh-Kaczmarz system 关于Walsh-Kaczmarz系统的T均值的极大算子
IF 1 4区 数学
Mathematical Inequalities & Applications Pub Date : 2021-01-01 DOI: 10.7153/mia-2021-24-51
N. Gogolashvili, G. Tephnadze
{"title":"Maximal operators of T means with respect to Walsh-Kaczmarz system","authors":"N. Gogolashvili, G. Tephnadze","doi":"10.7153/mia-2021-24-51","DOIUrl":"https://doi.org/10.7153/mia-2021-24-51","url":null,"abstract":"","PeriodicalId":49868,"journal":{"name":"Mathematical Inequalities & Applications","volume":"1 1","pages":""},"PeriodicalIF":1.0,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"71204839","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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: 5
Boundedness of bi-parameter Littlewood-Paley $g_{lambda}^*$-function on Hardy spaces Hardy空间上双参数Littlewood-Paley $g_{lambda}^*$-函数的有界性
IF 1 4区 数学
Mathematical Inequalities & Applications Pub Date : 2021-01-01 DOI: 10.7153/MIA-2021-24-06
F. Liao, Z. Li, Conghuan Ji
{"title":"Boundedness of bi-parameter Littlewood-Paley $g_{lambda}^*$-function on Hardy spaces","authors":"F. Liao, Z. Li, Conghuan Ji","doi":"10.7153/MIA-2021-24-06","DOIUrl":"https://doi.org/10.7153/MIA-2021-24-06","url":null,"abstract":"","PeriodicalId":49868,"journal":{"name":"Mathematical Inequalities & Applications","volume":"1 1","pages":"71-87"},"PeriodicalIF":1.0,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"71203869","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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 generalized least power approximation 关于广义最小幂近似
IF 1 4区 数学
Mathematical Inequalities & Applications Pub Date : 2021-01-01 DOI: 10.7153/mia-2021-24-48
N. Q. Dieu, P. Manh
{"title":"On generalized least power approximation","authors":"N. Q. Dieu, P. Manh","doi":"10.7153/mia-2021-24-48","DOIUrl":"https://doi.org/10.7153/mia-2021-24-48","url":null,"abstract":"","PeriodicalId":49868,"journal":{"name":"Mathematical Inequalities & Applications","volume":"1 1","pages":""},"PeriodicalIF":1.0,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"71203959","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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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