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Mathematical Inequalities & Applications最新文献

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Properties of some subsequences of the Walsh-Kaczmarz-Dirichlet kernels Walsh-Kaczmarz-Dirichlet核的一些子序列的性质
IF 1 4区 数学
Mathematical Inequalities & Applications Pub Date : 2021-01-01 DOI: 10.7153/MIA-2021-24-03
N. Memić
{"title":"Properties of some subsequences of the Walsh-Kaczmarz-Dirichlet kernels","authors":"N. Memić","doi":"10.7153/MIA-2021-24-03","DOIUrl":"https://doi.org/10.7153/MIA-2021-24-03","url":null,"abstract":"We study some properties of a family of subsequences of the Walsh-Kaczmarz-Dirichlet kernels. We prove properties related to the L1 norm of the weighted maximal function and to the Fejér means of partial sums of Fourier series obtained by convolution with integrable functions. Mathematics subject classification (2010): 42C10.","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":"71203658","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
On weighted Hardy inequality with two-dimensional rectangular operator - extension of the E. Sawyer theorem 二维矩形算子的加权Hardy不等式——E. Sawyer定理的推广
IF 1 4区 数学
Mathematical Inequalities & Applications Pub Date : 2021-01-01 DOI: 10.7153/mia-2021-24-43
V. Stepanov, E. Ushakova
{"title":"On weighted Hardy inequality with two-dimensional rectangular operator - extension of the E. Sawyer theorem","authors":"V. Stepanov, E. Ushakova","doi":"10.7153/mia-2021-24-43","DOIUrl":"https://doi.org/10.7153/mia-2021-24-43","url":null,"abstract":"A characterization is obtained for those pairs of weights $v$ and $w$ on $mathbb{R}^2_+$, for which the two--dimensional rectangular integration operator is bounded from a weighted Lebesgue space $L^p_v(mathbb{R}^2_+)$ to $L^q_w(mathbb{R}^2_+)$ for $1<pnot= q<infty$, which is an essential complement to E. Sawyer's result cite{Saw1} given for $1<pleq q<infty$. Besides, we declare that the E. Sawyer theorem is actual if $p=q$ only, for $p<q$ the criterion is less complicated. The case $q<p$ is new.","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":"71204303","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
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
Generalized Csiszár's f-divergence for Lipschitzian functions Lipschitzian函数的广义Csiszár f-散度
IF 1 4区 数学
Mathematical Inequalities & Applications Pub Date : 2021-01-01 DOI: 10.7153/MIA-2021-24-02
Đ. Pečarić, J. Pečarić, D. Pokaz
{"title":"Generalized Csiszár's f-divergence for Lipschitzian functions","authors":"Đ. Pečarić, J. Pečarić, D. Pokaz","doi":"10.7153/MIA-2021-24-02","DOIUrl":"https://doi.org/10.7153/MIA-2021-24-02","url":null,"abstract":". We started with the generalization of the Csisz´ar’s f -divergence. We stated and proved Jensen’s type inequality for L -Lipschitzian functions. The results for commonly used examples of f -divergences, such as the Kullbach-Leibler divergence, the Hellinger divergence, the R´enyi divergence and χ 2 -distance are derived. Further, we examined two speci fi c averaging functions, previously known in the literature. Finally, we obtained interesting results concerning the Zipf-Mandelbrot law.","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":"71203601","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
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