A more accurate half-discrete Hardy-Hilbert-type inequality with the logarithmic function

By means of the weight functions, the technique of real analysis and Hermite-Hadamard’s inequality, a more accurate half-discrete Hardy-Hilbert-type inequality related to the kernel of logarithmic function and a best possible constant factor is given. Moreover, the equivalent forms, the operator exp...

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Detalles Bibliográficos
Autores principales: Wang, Aizhen, Yang, Bicheng
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2017
Materias:
Research
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5489645/
https://www.ncbi.nlm.nih.gov/pubmed/28713209
http://dx.doi.org/10.1186/s13660-017-1408-x
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author Wang, Aizhen
Yang, Bicheng
author_facet Wang, Aizhen
Yang, Bicheng
author_sort Wang, Aizhen
collection PubMed
description By means of the weight functions, the technique of real analysis and Hermite-Hadamard’s inequality, a more accurate half-discrete Hardy-Hilbert-type inequality related to the kernel of logarithmic function and a best possible constant factor is given. Moreover, the equivalent forms, the operator expressions, the reverses and some particular cases are also considered.
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spelling pubmed-54896452017-07-13 A more accurate half-discrete Hardy-Hilbert-type inequality with the logarithmic function Wang, Aizhen Yang, Bicheng J Inequal Appl Research By means of the weight functions, the technique of real analysis and Hermite-Hadamard’s inequality, a more accurate half-discrete Hardy-Hilbert-type inequality related to the kernel of logarithmic function and a best possible constant factor is given. Moreover, the equivalent forms, the operator expressions, the reverses and some particular cases are also considered. Springer International Publishing 2017-06-28 2017 /pmc/articles/PMC5489645/ /pubmed/28713209 http://dx.doi.org/10.1186/s13660-017-1408-x Text en © The Author(s) 2017 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
Wang, Aizhen
Yang, Bicheng
A more accurate half-discrete Hardy-Hilbert-type inequality with the logarithmic function
title A more accurate half-discrete Hardy-Hilbert-type inequality with the logarithmic function
title_full A more accurate half-discrete Hardy-Hilbert-type inequality with the logarithmic function
title_fullStr A more accurate half-discrete Hardy-Hilbert-type inequality with the logarithmic function
title_full_unstemmed A more accurate half-discrete Hardy-Hilbert-type inequality with the logarithmic function
title_short A more accurate half-discrete Hardy-Hilbert-type inequality with the logarithmic function
title_sort more accurate half-discrete hardy-hilbert-type inequality with the logarithmic function
topic Research
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5489645/
https://www.ncbi.nlm.nih.gov/pubmed/28713209
http://dx.doi.org/10.1186/s13660-017-1408-x
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