On a more accurate half-discrete Hardy–Hilbert-type inequality related to the kernel of arc tangent function

By means of weight functions and Hermite–Hadamard’s inequality, and introducing a discrete interval variable, a more accurate half-discrete Hardy–Hilbert-type inequality related to the kernel of arc tangent function and a best possible constant factor is given, which is an extension of a published r...

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Detalles Bibliográficos
Autores principales: Chen, Qiang, Yang, Bicheng
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2016
Materias:
Research
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4980859/
https://www.ncbi.nlm.nih.gov/pubmed/27563512
http://dx.doi.org/10.1186/s40064-016-2901-2
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author Chen, Qiang
Yang, Bicheng
author_facet Chen, Qiang
Yang, Bicheng
author_sort Chen, Qiang
collection PubMed
description By means of weight functions and Hermite–Hadamard’s inequality, and introducing a discrete interval variable, a more accurate half-discrete Hardy–Hilbert-type inequality related to the kernel of arc tangent function and a best possible constant factor is given, which is an extension of a published result. The equivalent forms and the operator expressions are also considered.
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spelling pubmed-49808592016-08-25 On a more accurate half-discrete Hardy–Hilbert-type inequality related to the kernel of arc tangent function Chen, Qiang Yang, Bicheng Springerplus Research By means of weight functions and Hermite–Hadamard’s inequality, and introducing a discrete interval variable, a more accurate half-discrete Hardy–Hilbert-type inequality related to the kernel of arc tangent function and a best possible constant factor is given, which is an extension of a published result. The equivalent forms and the operator expressions are also considered. Springer International Publishing 2016-08-11 /pmc/articles/PMC4980859/ /pubmed/27563512 http://dx.doi.org/10.1186/s40064-016-2901-2 Text en © The Author(s) 2016 Open AccessThis 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
Chen, Qiang
Yang, Bicheng
On a more accurate half-discrete Hardy–Hilbert-type inequality related to the kernel of arc tangent function
title On a more accurate half-discrete Hardy–Hilbert-type inequality related to the kernel of arc tangent function
title_full On a more accurate half-discrete Hardy–Hilbert-type inequality related to the kernel of arc tangent function
title_fullStr On a more accurate half-discrete Hardy–Hilbert-type inequality related to the kernel of arc tangent function
title_full_unstemmed On a more accurate half-discrete Hardy–Hilbert-type inequality related to the kernel of arc tangent function
title_short On a more accurate half-discrete Hardy–Hilbert-type inequality related to the kernel of arc tangent function
title_sort on a more accurate half-discrete hardy–hilbert-type inequality related to the kernel of arc tangent function
topic Research
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4980859/
https://www.ncbi.nlm.nih.gov/pubmed/27563512
http://dx.doi.org/10.1186/s40064-016-2901-2
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