A new discrete Hardy-type inequality with kernels and monotone functions

被引：0
作者：
Aigerim Kalybay
Lars-Erik Persson
Ainur Temirkhanova
机构：
[1] KIMEP University,
[2] Luleå University of Technology,undefined
[3] Narvik University College,undefined
[4] L.N. Gumilyov Eurasian National University,undefined
来源：
Journal of Inequalities and Applications | / 2015卷
关键词：
inequality; Hardy-type inequality; kernel; matrix operator; monotone sequence; Oinarov condition; 26D10; 26D15; 39B82;
D O I：
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摘要：
A new discrete Hardy-type inequality with kernels and monotone functions is proved for the case 1<q<p<∞\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$1< q< p<\infty$\end{document}. This result is discussed in a general framework and some applications related to Hölder’s summation method are pointed out.
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