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Mathematical Inequalities & Applications最新文献

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An inequality involving a triangle and an interior point and its application 一个涉及三角形和内点的不等式及其应用
IF 1 4区 数学
Mathematical Inequalities & Applications Pub Date : 2020-01-01 DOI: 10.7153/mia-2020-23-59
T. Sorokina, Shangqian Zhang
{"title":"An inequality involving a triangle and an interior point and its application","authors":"T. Sorokina, Shangqian Zhang","doi":"10.7153/mia-2020-23-59","DOIUrl":"https://doi.org/10.7153/mia-2020-23-59","url":null,"abstract":"Let x0 be an interior split point in the triangle T := [x1,x2,x3] . By αi j we denote the angle ̂ x0,xi,x j , i = j . We show that cosα12 cosα23 cosα31 + cosα21 cosα32 cosα13 > 0. Additionally, we use this inequality to prove uniqueness and existence of a conforming quadratic piecewise harmonic finite element on the Clough-Tocher split of a triangle. Mathematics subject classification (2010): 51N20, 65N30.","PeriodicalId":49868,"journal":{"name":"Mathematical Inequalities & Applications","volume":"1 1","pages":"713-717"},"PeriodicalIF":1.0,"publicationDate":"2020-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"71202551","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
Asymptotic expansion and bounds for complete elliptic integrals 完全椭圆积分的渐近展开式和界
IF 1 4区 数学
Mathematical Inequalities & Applications Pub Date : 2020-01-01 DOI: 10.7153/mia-2020-23-67
Miao-Kun Wang, Y. Chu, Yong-Min Li, E. Zhang
{"title":"Asymptotic expansion and bounds for complete elliptic integrals","authors":"Miao-Kun Wang, Y. Chu, Yong-Min Li, E. Zhang","doi":"10.7153/mia-2020-23-67","DOIUrl":"https://doi.org/10.7153/mia-2020-23-67","url":null,"abstract":"In the article, we present several new bounds for the the complete elliptic integrals K (r)= ∫ π/2 0 (1−r2 sin2 θ )−1/2dθ and E (r)= ∫ π/2 0 (1−r2 sin2 θ )1/2dθ , and find an asymptotic expansion for K (r) as r → 1 , which are the refinements and improvements of the previously well-known results. Mathematics subject classification (2010): 33E05, 26E60.","PeriodicalId":49868,"journal":{"name":"Mathematical Inequalities & Applications","volume":"1 1","pages":"821-841"},"PeriodicalIF":1.0,"publicationDate":"2020-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"71202707","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: 29
Covering functionals of Minkowski sums and direct sums of convex bodies 覆盖Minkowski和的泛函和凸体的直接和
IF 1 4区 数学
Mathematical Inequalities & Applications Pub Date : 2020-01-01 DOI: 10.7153/mia-2020-23-88
Senlin Wu, Baofang Fan, Chan He
{"title":"Covering functionals of Minkowski sums and direct sums of convex bodies","authors":"Senlin Wu, Baofang Fan, Chan He","doi":"10.7153/mia-2020-23-88","DOIUrl":"https://doi.org/10.7153/mia-2020-23-88","url":null,"abstract":"We prove a series of inequalities concerning covering functionals of convex bodies having the form K +L , where K is a convex body and L is a segment. Several estimations of covering functionals of direct sums of convex bodies are also presented. Mathematics subject classification (2010): 52C17, 52A20.","PeriodicalId":49868,"journal":{"name":"Mathematical Inequalities & Applications","volume":"1 1","pages":"1145-1154"},"PeriodicalIF":1.0,"publicationDate":"2020-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"71203165","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
Remarks to a theorem of Sinclair and Vaaler 辛克莱和瓦勒定理注解
IF 1 4区 数学
Mathematical Inequalities & Applications Pub Date : 2020-01-01 DOI: 10.7153/mia-2020-23-52
L. Losonczi
{"title":"Remarks to a theorem of Sinclair and Vaaler","authors":"L. Losonczi","doi":"10.7153/mia-2020-23-52","DOIUrl":"https://doi.org/10.7153/mia-2020-23-52","url":null,"abstract":"Sinclair and Vaaler in [6] Theorem 1.2 found sufficient conditions, nonlinear in the coefficients depending on a parameter p 1 , for self-inversive polynomials to have all their zeros on the unit circle. Here we discuss the dependence of the conditions on the parameter and through it we show that applying Theorem 1 of Lakatos and Losonczi [4] their result can be strengthened by giving the locations of the zeros. Mathematics subject classification (2010): 30C15, 12D10, 42C05.","PeriodicalId":49868,"journal":{"name":"Mathematical Inequalities & Applications","volume":"1 1","pages":"647-652"},"PeriodicalIF":1.0,"publicationDate":"2020-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"71202783","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
Maximal values of symmetric functions in distances between points 点间距离对称函数的最大值
IF 1 4区 数学
Mathematical Inequalities & Applications Pub Date : 2020-01-01 DOI: 10.7153/mia-2020-23-25
A. Dubickas
{"title":"Maximal values of symmetric functions in distances between points","authors":"A. Dubickas","doi":"10.7153/mia-2020-23-25","DOIUrl":"https://doi.org/10.7153/mia-2020-23-25","url":null,"abstract":"In this note we find the maximal values of several symmetric functions in the variables which are the squares of distances |zi − z j| , 1 i < j d , between some d complex points z1, . . . ,zd in the unit disc. We compute the maximums of σm , for m = 1,2,3,4 , explicitly and find the conditions on z1, . . . ,zd under which those maximal values are attained. This problem is motivated by an inequality of Cassels (1966) and a subsequent conjecture of Alexander. Mathematics subject classification (2010): 52A40, 11R06.","PeriodicalId":49868,"journal":{"name":"Mathematical Inequalities & Applications","volume":"1 1","pages":"329-339"},"PeriodicalIF":1.0,"publicationDate":"2020-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"71201934","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
Weighted weak-type inequalities for square functions 平方函数的加权弱型不等式
IF 1 4区 数学
Mathematical Inequalities & Applications Pub Date : 2020-01-01 DOI: 10.7153/mia-2020-23-21
A. Osȩkowski
{"title":"Weighted weak-type inequalities for square functions","authors":"A. Osȩkowski","doi":"10.7153/mia-2020-23-21","DOIUrl":"https://doi.org/10.7153/mia-2020-23-21","url":null,"abstract":"The paper is devoted to weighted weak-type inequalities for square functions of continuous-path martingales and identifies the optimal dependence of the weak norm on the characteristic of the weight. The proof rests on Bellman function technique: the estimates are deduced from the existence of special functions enjoying appropriate size conditions and concavity. Mathematics subject classification (2010): 46E30, 60G42.","PeriodicalId":49868,"journal":{"name":"Mathematical Inequalities & Applications","volume":"1 1","pages":"267-286"},"PeriodicalIF":1.0,"publicationDate":"2020-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"71202285","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
Euler-Lagrange equations associated with extremal functions of several nonlocal inequalities 与若干非局部不等式的极值函数相关的欧拉-拉格朗日方程
IF 1 4区 数学
Mathematical Inequalities & Applications Pub Date : 2020-01-01 DOI: 10.7153/mia-2020-23-90
Ya Li
{"title":"Euler-Lagrange equations associated with extremal functions of several nonlocal inequalities","authors":"Ya Li","doi":"10.7153/mia-2020-23-90","DOIUrl":"https://doi.org/10.7153/mia-2020-23-90","url":null,"abstract":"","PeriodicalId":49868,"journal":{"name":"Mathematical Inequalities & Applications","volume":"1 1","pages":"1165-1177"},"PeriodicalIF":1.0,"publicationDate":"2020-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"71203186","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 Stević-Sharma operators from weighted Bergman spaces to weighted-type spaces 关于Stević-Sharma从加权Bergman空间到加权型空间的算子
IF 1 4区 数学
Mathematical Inequalities & Applications Pub Date : 2020-01-01 DOI: 10.7153/mia-2020-23-81
M. Ghafri, J. Manhas
{"title":"On Stević-Sharma operators from weighted Bergman spaces to weighted-type spaces","authors":"M. Ghafri, J. Manhas","doi":"10.7153/mia-2020-23-81","DOIUrl":"https://doi.org/10.7153/mia-2020-23-81","url":null,"abstract":"Let H (D) be the space of analytic functions on the unit disc D . Let φ be an analytic self-map of D and ψ1,ψ2 ∈H (D) . Let Cφ , Mψ and D denote the composition, multiplication and differentiation operators, respectively. In order to treat the products of these operators in a unified manner, Stević et al. introduced the following operator Tψ1 ,ψ2 ,φ f = ψ1 · f ◦φ +ψ2 · f ′ ◦φ , f ∈ H (D). We characterize the boundedness and compactness of the operators Tψ1 ,ψ2 ,φ from weighted Bergman spaces to weighted-type and little weighted-type spaces of analytic functions. Also, we give examples of bounded, unbounded, compact and non compact operators Tψ1 ,ψ2 ,φ . Mathematics subject classification (2010): 47B33, 47B38.","PeriodicalId":49868,"journal":{"name":"Mathematical Inequalities & Applications","volume":"1 1","pages":"1051-1077"},"PeriodicalIF":1.0,"publicationDate":"2020-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"71203367","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: 10
Bohr phenomenon on the unit ball of a complex Banach space 复巴拿赫空间单位球上的玻尔现象
IF 1 4区 数学
Mathematical Inequalities & Applications Pub Date : 2020-01-01 DOI: 10.7153/mia-2020-23-98
H. Hamada, Tatsuhiro Honda, Y. Mizota
{"title":"Bohr phenomenon on the unit ball of a complex Banach space","authors":"H. Hamada, Tatsuhiro Honda, Y. Mizota","doi":"10.7153/mia-2020-23-98","DOIUrl":"https://doi.org/10.7153/mia-2020-23-98","url":null,"abstract":"Let BX be the unit ball of a complex Banach space X . In this paper, we will generalize several results related to the Bohr radius for analytic functions or harmonic functions on the unit disc U in C to holomorphic mappings or pluriharmonic mappings on BX . We will establish Bohr’s inequality for the class of holomorphic mappings which are subordinate to convex mappings on BX . Next, we will establish Bohr’s inequality for pluriharmonic mappings on BX . We will also obtain the p -Bohr radius for bounded pluriharmonic functions on BX . Finally, we will determine the Bohr radius for a class of holomorphic functions on BX which contains odd holomorphic functions on BX . Mathematics subject classification (2010): 32A05, 32A10, 32K05.","PeriodicalId":49868,"journal":{"name":"Mathematical Inequalities & Applications","volume":"118 1","pages":"1325-1341"},"PeriodicalIF":1.0,"publicationDate":"2020-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"71203772","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: 4
On an open problem of Feng Qi and Bai-Ni Guo 论冯齐与郭白妮的一个未决问题
IF 1 4区 数学
Mathematical Inequalities & Applications Pub Date : 2020-01-01 DOI: 10.7153/mia-2020-23-05
M. Bouali
{"title":"On an open problem of Feng Qi and Bai-Ni Guo","authors":"M. Bouali","doi":"10.7153/mia-2020-23-05","DOIUrl":"https://doi.org/10.7153/mia-2020-23-05","url":null,"abstract":"In this work, we investigate an open problem posed by Feng Qi and Bai-Ni Guo in their paper ”Complete monotonicities of functions involving the gamma and digamma functions [7]”. Mathematics subject classification (2010): 26A09, 33B10, 26A48.","PeriodicalId":49868,"journal":{"name":"Mathematical Inequalities & Applications","volume":"1 1","pages":"61-69"},"PeriodicalIF":1.0,"publicationDate":"2020-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"71201624","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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