On new generalizations of Hilbert's inequality and their applications
type: Item
instance of: scholarly article
title: On new generalizations of Hilbert's inequality and their applications
zbMATH Open document ID: 0968.26010
author: Jichang Kuang
author: Lokenath Debnath
published in: Journal of Mathematical Analysis and Applications
publication date: 2001-09-03T00:00:00Z
review text: Inequalities for a general series of type \(\sum^{+\infty}_{m=0} \sum^{+\infty}_{n=0} K(m+ t,n+t) a_mb_n\) are proved. For particular \(K\), the authors obtain refinements of certain inequalities related to Hilbert's inequality, due, e.g., to Hardy-Littlewood-Pólya, M. Z. Gao or J. W. S. Cassels, etc.
reviewed by: József Sándor
Mathematics Subject Classification ID: 26D10
Mathematics Subject Classification ID: 33B15
Mathematics Subject Classification ID: 26D15
zbMATH DE Number: 1449175
zbMATH Keywords: Hilbert inequality
zbMATH Keywords: Euler-Maclaurin summation formula
zbMATH Keywords: beta function
MaRDI profile type: Publication
full work available at URL: jmaa.2000.6766
OpenAlex ID: W2040726363
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DOI: 10.1006/JMAA.2000.6766
description: scientific article; zbMATH DE number 1449175