A Hilbert-type integral inequality with multiparameters and a nonhomogeneous kernel
type: Item
instance of: scholarly article
title: A Hilbert-type integral inequality with multiparameters and a nonhomogeneous kernel
zbMATH Open document ID: 1474.26119
DOI: 10.1155/2014/674874
author: Qiong Liu
author: Wenbing Sun
published in: Abstract and Applied Analysis
publication date: 2019-02-14T00:00:00Z
review text: Summary: We first introduce \(\Gamma\)-function and Riemann \(\zeta\)-function to characterize the constant factor jointly. A Hilbert-type integral inequality with multiparameters and a nonhomogeneous kernel is given using the way of weight function and the technique of real analysis. The equivalent form is considered and its constant factors are proved to be the best possible. Some meaningful results are obtained by taking the special parameter values.
Mathematics Subject Classification ID: 26D15
Mathematics Subject Classification ID: 33B15
Mathematics Subject Classification ID: 33E20
zbMATH DE Number: 7022857
Wikidata QID: Q59040499
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2014/674874
OpenAlex ID: W2024788774
cites work: Q5812325
cites work: Q4000235
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cites work: On the norm of a Hilbert's type linear operator and applications
cites work: Q3404585
cites work: A new Hilbert-type inequality
cites work: Q4869539
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description: scientific article; zbMATH DE number 7022857