Some new Hardy-type inequalities for Riemann-Liouville fractional q-integral operator

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作者
Lars-Erik Persson
Serikbol Shaimardan
机构
[1] Luleå University of Technology,
[2] Narvik University College,undefined
[3] L.N. Gumilyov Eurasian National University,undefined
关键词
inequalities; Hardy-type inequalities; Riemann-Liouville operator; integral operator; -calculus; -integral; 26D10; 26D15; 33D05; 39A13;
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摘要
We consider the q-analog of the Riemann-Liouville fractional q-integral operator of order n∈N\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$n\in N$\end{document}. Some new Hardy-type inequalities for this operator are proved and discussed.
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