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Mathematical Inequalities & Applications最新文献

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A sharpened version of Aczél inequality by abstract convexity 用抽象的凸性来解释aczsamei不等式
IF 1 4区 数学
Mathematical Inequalities & Applications Pub Date : 2021-01-01 DOI: 10.7153/mia-2021-24-44
R. Tinaztepe, G. Tinaztepe
{"title":"A sharpened version of Aczél inequality by abstract convexity","authors":"R. Tinaztepe, G. Tinaztepe","doi":"10.7153/mia-2021-24-44","DOIUrl":"https://doi.org/10.7153/mia-2021-24-44","url":null,"abstract":". In this study, the Acz´el inequality is considered and a new simple proof of the inequal- ity is provided. An extension and a sharper version of this inequality are obtained by performing the results based on the optimality conditions of abstract convex functions. Mathematics 26D07.","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":"71204313","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
Discrete Hardy's type inequalities and structure of discrete class of weights satisfy reverse Hölder's inequality 离散Hardy型不等式和离散权重类的结构满足逆Hölder不等式
IF 1 4区 数学
Mathematical Inequalities & Applications Pub Date : 2021-01-01 DOI: 10.7153/MIA-2021-24-36
S. Saker, Jifeng Chu
{"title":"Discrete Hardy's type inequalities and structure of discrete class of weights satisfy reverse Hölder's inequality","authors":"S. Saker, Jifeng Chu","doi":"10.7153/MIA-2021-24-36","DOIUrl":"https://doi.org/10.7153/MIA-2021-24-36","url":null,"abstract":"In this paper, we will prove a new discrete weighted Hardy’s type inequality with different powers. Next, we will apply this inequality to prove that the forward and backward propagation properties (self-improving properties) for the general discrete class Bp,q of weights that satisfy the reverse Hölder inequality hold. As special cases, we will deduce the self-improving properties of discrete Gehring and Muckenhoupt weights. An example is considered for illustrations. Mathematics subject classification (2010): 26D07, 40D25, 42C10 43A55,46A35, 46B15.","PeriodicalId":49868,"journal":{"name":"Mathematical Inequalities & Applications","volume":"1 1","pages":"521-541"},"PeriodicalIF":1.0,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"71204386","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 conjugate convolution operators on matrix valued L^p-spaces 矩阵值L^p空间上矩阵值共轭卷积算子
IF 1 4区 数学
Mathematical Inequalities & Applications Pub Date : 2021-01-01 DOI: 10.7153/mia-2021-24-57
A. Ebadian, A. Jabbari
{"title":"Matrix valued conjugate convolution operators on matrix valued L^p-spaces","authors":"A. Ebadian, A. Jabbari","doi":"10.7153/mia-2021-24-57","DOIUrl":"https://doi.org/10.7153/mia-2021-24-57","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":"71204398","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
Simple accurate balanced asymptotic approximation of Wallis' ratio using Euler-Boole alternating summation 用欧拉-布尔交替求和求Wallis比值的简单精确平衡渐近逼近
IF 1 4区 数学
Mathematical Inequalities & Applications Pub Date : 2021-01-01 DOI: 10.7153/mia-2021-24-61
V. Lampret
{"title":"Simple accurate balanced asymptotic approximation of Wallis' ratio using Euler-Boole alternating summation","authors":"V. Lampret","doi":"10.7153/mia-2021-24-61","DOIUrl":"https://doi.org/10.7153/mia-2021-24-61","url":null,"abstract":". For integers m (cid:2) 1 and q (cid:2) 2, the Wallis ratio m : = m ∏ k = 1 2 k − is estimated as Some accurate asymptotic estimates of π in terms of w m are also 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":"71204569","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
Hermite-Hadamard type inequalities for multidimensional strongly h-convex functions 多维强h-凸函数的Hermite-Hadamard型不等式
IF 1 4区 数学
Mathematical Inequalities & Applications Pub Date : 2021-01-01 DOI: 10.7153/mia-2021-24-62
Meng ie Feng, Jianm ao Ruan, Xinsh ng Ma
{"title":"Hermite-Hadamard type inequalities for multidimensional strongly h-convex functions","authors":"Meng ie Feng, Jianm ao Ruan, Xinsh ng Ma","doi":"10.7153/mia-2021-24-62","DOIUrl":"https://doi.org/10.7153/mia-2021-24-62","url":null,"abstract":". We establish some Hermite-Hadamard type inequalities for strongly h -convex func- tion on balls and ellipsoids, which extend some known results. Some mappings connected with these inequalities and related applications are also obtained.","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":"71204579","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
Inhomogeneous Lipschitz spaces associated with flag singular integrals and their applications 旗奇异积分的非齐次Lipschitz空间及其应用
IF 1 4区 数学
Mathematical Inequalities & Applications Pub Date : 2021-01-01 DOI: 10.7153/mia-2021-24-67
Shaoy ng He, Jiecheng Chen
{"title":"Inhomogeneous Lipschitz spaces associated with flag singular integrals and their applications","authors":"Shaoy ng He, Jiecheng Chen","doi":"10.7153/mia-2021-24-67","DOIUrl":"https://doi.org/10.7153/mia-2021-24-67","url":null,"abstract":". This note is motivated by M¨uller, Ricci and Stein’s work in [29]. We introduce a new class of inhomogeneous Lipschitz spaces associated with fl ag singular integrals and characterize these spaces via the Littlewood-Paley theory. We prove that inhomogeneous fl ag singular integral operators are bounded on these Lipschitz spaces.","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":"71204664","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
Extensions of Lemos-Soares type log-majorization Lemos-Soares型对数最大化的扩展
IF 1 4区 数学
Mathematical Inequalities & Applications Pub Date : 2021-01-01 DOI: 10.7153/mia-2021-24-68
Zesh ng Feng, Jiaoyi Shi
{"title":"Extensions of Lemos-Soares type log-majorization","authors":"Zesh ng Feng, Jiaoyi Shi","doi":"10.7153/mia-2021-24-68","DOIUrl":"https://doi.org/10.7153/mia-2021-24-68","url":null,"abstract":". In this paper, we shall obtain extensions of Lemos-Soares log-majorization via Furuta inequality.","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":"71204860","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
Approximate ω-orthogonality and ω-derivation 近似ω-正交性和ω-导数
IF 1 4区 数学
Mathematical Inequalities & Applications Pub Date : 2021-01-01 DOI: 10.7153/MIA-2021-24-32
M. Amyari, M. M. Khibary
{"title":"Approximate ω-orthogonality and ω-derivation","authors":"M. Amyari, M. M. Khibary","doi":"10.7153/MIA-2021-24-32","DOIUrl":"https://doi.org/10.7153/MIA-2021-24-32","url":null,"abstract":". We introduce the notion of approximate ω -orthogonality (referring to the numerical radius ω ) and investigate its signi fi cant properties. Let T , S ∈ B ( H ) and ε ∈ [ 0 , 1 ) . We say that T is approximate ω -orthogonality to S and we write T ⊥ εω S if ω 2 ( T + λ S ) (cid:2) ω 2 ( T ) − 2 εω ( T ) ω ( λ S ) , for all λ ∈ C . We show that T ⊥ εω S if and only if inf θ ∈ [ 0 , 2 π ) D θω ( T , S ) (cid:2) − εω ( T ) ω ( S ) in which D θω ( T , S ) = lim r → 0 + ω 2 ( T + re i θ S ) − ω 2 ( T ) 2 r ; and this occurs if and only if for every θ ∈ [ 0 , 2 π ) , there exists a sequence { x θ n } of unit vectors in H such that and where ω ( T ) is the numerical radius of T . ,","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":"71204199","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
Harnack inequalities for functional SDEs driven by subordinate multifractional Brownian motion 从属多分数布朗运动驱动的泛函SDEs的Harnack不等式
IF 1 4区 数学
Mathematical Inequalities & Applications Pub Date : 2021-01-01 DOI: 10.7153/mia-2021-24-80
Zhi Li, Li an Yan, Lip ng Xu
{"title":"Harnack inequalities for functional SDEs driven by subordinate multifractional Brownian motion","authors":"Zhi Li, Li an Yan, Lip ng Xu","doi":"10.7153/mia-2021-24-80","DOIUrl":"https://doi.org/10.7153/mia-2021-24-80","url":null,"abstract":". Being base on the Girsanov theorem for multifractional Brownian motion, which can be constructed by the multifractional derivative operator, we establish the Harnack inequalities for a class of stochastic functional differential equations driven by subordinate multifractional Brownian motion by an approximation technique.","PeriodicalId":49868,"journal":{"name":"Mathematical Inequalities & Applications","volume":"7 1","pages":""},"PeriodicalIF":1.0,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"71204936","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
Proofs of conjectures of Elezović; and Vukšić concerning the inequalities for means elezoviki猜想的证明;和Vukšić关于方法的不平等
IF 1 4区 数学
Mathematical Inequalities & Applications Pub Date : 2021-01-01 DOI: 10.7153/MIA-2021-24-01
Xue Han, Chao-Ping Chen
{"title":"Proofs of conjectures of Elezović; and Vukšić concerning the inequalities for means","authors":"Xue Han, Chao-Ping Chen","doi":"10.7153/MIA-2021-24-01","DOIUrl":"https://doi.org/10.7153/MIA-2021-24-01","url":null,"abstract":". By using the asymptotic expansion method, Elezovi´c and Vuk ˇ si´c conjectured certain inequalities related to Neuman-S´andor mean. The aim of this paper is to offer a proof of these inequalities.","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":"71203550","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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