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Mathematical Inequalities & Applications最新文献

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Weighted composition operators and their products on L^2 (Σ) L^2上的加权复合算子及其乘积(Σ)
IF 1 4区 数学
Mathematical Inequalities & Applications Pub Date : 2021-01-01 DOI: 10.7153/MIA-2021-24-21
M. Jabbarzadeh, M. Gheytaran
{"title":"Weighted composition operators and their products on L^2 (Σ)","authors":"M. Jabbarzadeh, M. Gheytaran","doi":"10.7153/MIA-2021-24-21","DOIUrl":"https://doi.org/10.7153/MIA-2021-24-21","url":null,"abstract":". In this paper, we study the ascent and descent of weighted composition operators on L 2 ( Σ ) . In addition, we discuss measure theoretic characterizations of some classical properties for products of these type operators.","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":"71204056","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
Transference method for cone-like restricted summability of the two-dimensional Walsh-like systems 二维类walsh系统的锥型受限可和性的迁移方法
IF 1 4区 数学
Mathematical Inequalities & Applications Pub Date : 2021-01-01 DOI: 10.7153/MIA-2021-24-16
K. Nagy, M. Salim
{"title":"Transference method for cone-like restricted summability of the two-dimensional Walsh-like systems","authors":"K. Nagy, M. Salim","doi":"10.7153/MIA-2021-24-16","DOIUrl":"https://doi.org/10.7153/MIA-2021-24-16","url":null,"abstract":". In the present paper we investigate the boundedness of the maximal operator of some d -dimensional means, provided that the set of the indeces is inside a cone-like set L . Applying some assumptions on the summation kernels P n 1 ,..., n d we state that the cone-like restricted maximal operator T γ CLR is bounded from the Hardy space H γ p to the Lebesgue space L p for p > p 0 . In the end point p 0 assuming some natural conditions on one-dimensional kernels we show that the maximal operator T γ CLR is not bounded from the Hardy space H γ p 0 to the Lebesgue space L p 0 .","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":"71204218","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
Refinements of Ky Fan's eigenvalue inequality for simple Euclidean Jordan algebras by using gradients of K-increasing functions 用k递增函数的梯度改进简单欧几里得约当代数的Ky Fan特征值不等式
IF 1 4区 数学
Mathematical Inequalities & Applications Pub Date : 2021-01-01 DOI: 10.7153/mia-2021-24-74
M. Niezgoda
{"title":"Refinements of Ky Fan's eigenvalue inequality for simple Euclidean Jordan algebras by using gradients of K-increasing functions","authors":"M. Niezgoda","doi":"10.7153/mia-2021-24-74","DOIUrl":"https://doi.org/10.7153/mia-2021-24-74","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":"71204735","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: 1
Some notes on Jensen-Mercer's type inequalities; extensions and refinements with applications 关于Jensen-Mercer类型不等式的几点注释应用程序的扩展和改进
IF 1 4区 数学
Mathematical Inequalities & Applications Pub Date : 2021-01-01 DOI: 10.7153/mia-2021-24-76
L. Horváth
{"title":"Some notes on Jensen-Mercer's type inequalities; extensions and refinements with applications","authors":"L. Horváth","doi":"10.7153/mia-2021-24-76","DOIUrl":"https://doi.org/10.7153/mia-2021-24-76","url":null,"abstract":". In this paper we study inequalities corresponding to Jensen-Mercer’s inequality. Some new extensions of Niezgoda’s inequality and the integral version of Jensen-Mercer’s inequality are given. The obtained inequalities do not only generalize the former ones, but our proofs are natural and simple. They clearly show the structure of such inequalities: they consist of two parts, a discrete or integral Jensen’s inequality and then a majorization type inequality. An- other purpose of the paper is to provide a deeper understanding of the methods used to re fi ne Jensen-Mercer’s and the corresponding inequalities. Moreover, some new re fi nements of these inequalities are obtained. Finally, some applications related to Fej´er’s and Hermite-Hadamard inequalities are given.","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":"71204802","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: 6
Weighted Hellinger distance and in-betweenness property 加权海灵格距离和中间性
IF 1 4区 数学
Mathematical Inequalities & Applications Pub Date : 2021-01-01 DOI: 10.7153/MIA-2021-24-11
T. Dinh, C. Lê, B. K. Vo, T. Vuong
{"title":"Weighted Hellinger distance and in-betweenness property","authors":"T. Dinh, C. Lê, B. K. Vo, T. Vuong","doi":"10.7153/MIA-2021-24-11","DOIUrl":"https://doi.org/10.7153/MIA-2021-24-11","url":null,"abstract":"In this paper we introduce the weighted Hellinger distance for matrices which is an interpolating between the Euclidean distance and the Hellinger distance. We show the equivalence of the weighted Hellinger distance and the Alpha Procrustes distance. As a consequence, we prove that the matrix power mean μp(t,A,B) = (tAp +(1−t)Bp)1/p satisfies in-betweenness property in the weighted Hellinger and Alpha Procrustes distances. Mathematics subject classification (2010): 47A63, 47A56.","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":"71203514","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: 1
Composition operators and closures of a class of Möbius invariant function spaces in the Bloch space Bloch空间中Möbius不变函数空间的复合运算符和闭包
IF 1 4区 数学
Mathematical Inequalities & Applications Pub Date : 2021-01-01 DOI: 10.7153/MIA-2021-24-04
L. X. Zhang
{"title":"Composition operators and closures of a class of Möbius invariant function spaces in the Bloch space","authors":"L. X. Zhang","doi":"10.7153/MIA-2021-24-04","DOIUrl":"https://doi.org/10.7153/MIA-2021-24-04","url":null,"abstract":". Closures of a class of M¨obius invariant function spaces in the Bloch space are investi- gated in this paper. Moreover, the boundedness and compactness of composition operators from the Bloch space to closures of such M¨obius invariant space in the Bloch space are characterized. Mathematics subject classi fi cation (2010): 30H30, 30H99, 47B33.","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":"71203670","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 some properties of the Carath'{e}odory functions Carath'{e}气味函数的一些性质
IF 1 4区 数学
Mathematical Inequalities & Applications Pub Date : 2021-01-01 DOI: 10.7153/MIA-2021-24-05
N. Cho, O. S. Kwon, M. Nunokawa, J. Sokół
{"title":"On some properties of the Carath'{e}odory functions","authors":"N. Cho, O. S. Kwon, M. Nunokawa, J. Sokół","doi":"10.7153/MIA-2021-24-05","DOIUrl":"https://doi.org/10.7153/MIA-2021-24-05","url":null,"abstract":"","PeriodicalId":49868,"journal":{"name":"Mathematical Inequalities & Applications","volume":"1 1","pages":"61-70"},"PeriodicalIF":1.0,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"71203685","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 Complex L_p affine isoperimetric inequalities 复L_p仿射等周不等式
IF 1 4区 数学
Mathematical Inequalities & Applications Pub Date : 2021-01-01 DOI: 10.7153/mia-2021-24-46
Yuehua Wu
{"title":"On Complex L_p affine isoperimetric inequalities","authors":"Yuehua Wu","doi":"10.7153/mia-2021-24-46","DOIUrl":"https://doi.org/10.7153/mia-2021-24-46","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":"71203932","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: 2
Continuity of generalized Riesz potentials for double phase functionals 双相泛函广义Riesz势的连续性
IF 1 4区 数学
Mathematical Inequalities & Applications Pub Date : 2021-01-01 DOI: 10.7153/mia-2021-24-49
T. Ohno, T. Shimomura
{"title":"Continuity of generalized Riesz potentials for double phase functionals","authors":"T. Ohno, T. Shimomura","doi":"10.7153/mia-2021-24-49","DOIUrl":"https://doi.org/10.7153/mia-2021-24-49","url":null,"abstract":"In this note, we are concerned with the continuity of generalized Riesz potentials Iρ,μ ,τ f of functions in Morrey spaces LΦ,ν,κ (X) of double phase functionals over bounded nondoubling metric measure spaces. Mathematics subject classification (2020): 31B15, 46E35.","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":"71204000","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: 1
Bounds for indices of coincidence and entropies 符合指数和熵的界限
IF 1 4区 数学
Mathematical Inequalities & Applications Pub Date : 2021-01-01 DOI: 10.7153/MIA-2021-24-22
A. Acu, Gülen Başcanbaz-Tunca, I. Raşa
{"title":"Bounds for indices of coincidence and entropies","authors":"A. Acu, Gülen Başcanbaz-Tunca, I. Raşa","doi":"10.7153/MIA-2021-24-22","DOIUrl":"https://doi.org/10.7153/MIA-2021-24-22","url":null,"abstract":". In this paper we consider a parameterized family of discrete probability distributions and investigate the R´enyi,Tsallis, and Shannon entropies associated with them. Lower and upper bounds for these entropies are obtained, improving some results from the literature. The proofs are based on several methods from classical analysis, theory of dual cones, and the stochastic majorization theory. The R´enyi and Tsallis entropies are naturally expressed in terms of the index of coincidence. Consequently we study in detail the index of coincidence associated to the corresponding discrete probability distributions. The obtained results lead immediately to properties of the entropies.","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":"71204077","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: 3
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