Equivalent conditions and applications of a class of Hilbert-type integral inequalities involving multiple functions with quasi-homogeneous kernels

Let [Formula: see text] satisfy [Formula: see text] for [Formula: see text] . With this integral kernel, by using the method and technique of weight coefficients, the equivalent conditions and the best constant factors for the validity of Hilbert-type integral inequalities involving multiple functio...

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Autores principales: Cao, Junfei, He, Bing, Hong, Yong, Yang, Bicheng
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2018
Materias:
Research
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6096932/
https://www.ncbi.nlm.nih.gov/pubmed/30839570
http://dx.doi.org/10.1186/s13660-018-1797-5
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author Cao, Junfei
He, Bing
Hong, Yong
Yang, Bicheng
author_facet Cao, Junfei
He, Bing
Hong, Yong
Yang, Bicheng
author_sort Cao, Junfei
collection PubMed
description Let [Formula: see text] satisfy [Formula: see text] for [Formula: see text] . With this integral kernel, by using the method and technique of weight coefficients, the equivalent conditions and the best constant factors for the validity of Hilbert-type integral inequalities involving multiple functions are discussed. Finally, the applications of the integral inequalities are considered.
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spelling pubmed-60969322018-08-24 Equivalent conditions and applications of a class of Hilbert-type integral inequalities involving multiple functions with quasi-homogeneous kernels Cao, Junfei He, Bing Hong, Yong Yang, Bicheng J Inequal Appl Research Let [Formula: see text] satisfy [Formula: see text] for [Formula: see text] . With this integral kernel, by using the method and technique of weight coefficients, the equivalent conditions and the best constant factors for the validity of Hilbert-type integral inequalities involving multiple functions are discussed. Finally, the applications of the integral inequalities are considered. Springer International Publishing 2018-08-09 2018 /pmc/articles/PMC6096932/ /pubmed/30839570 http://dx.doi.org/10.1186/s13660-018-1797-5 Text en © The Author(s) 2018 Open Access This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.
spellingShingle Research
Cao, Junfei
He, Bing
Hong, Yong
Yang, Bicheng
Equivalent conditions and applications of a class of Hilbert-type integral inequalities involving multiple functions with quasi-homogeneous kernels
title Equivalent conditions and applications of a class of Hilbert-type integral inequalities involving multiple functions with quasi-homogeneous kernels
title_full Equivalent conditions and applications of a class of Hilbert-type integral inequalities involving multiple functions with quasi-homogeneous kernels
title_fullStr Equivalent conditions and applications of a class of Hilbert-type integral inequalities involving multiple functions with quasi-homogeneous kernels
title_full_unstemmed Equivalent conditions and applications of a class of Hilbert-type integral inequalities involving multiple functions with quasi-homogeneous kernels
title_short Equivalent conditions and applications of a class of Hilbert-type integral inequalities involving multiple functions with quasi-homogeneous kernels
title_sort equivalent conditions and applications of a class of hilbert-type integral inequalities involving multiple functions with quasi-homogeneous kernels
topic Research
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6096932/
https://www.ncbi.nlm.nih.gov/pubmed/30839570
http://dx.doi.org/10.1186/s13660-018-1797-5
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