An extended reverse Hardy–Hilbert’s inequality in the whole plane

Using weight coefficients, a complex integral formula, and Hermite–Hadamard’s inequality, we give an extended reverse Hardy–Hilbert’s inequality in the whole plane with multiparameters and a best possible constant factor. Equivalent forms and a few particular cases are considered.

Detalles Bibliográficos
Autores principales: Chen, Qiang, 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/PMC5948282/
https://www.ncbi.nlm.nih.gov/pubmed/29780212
http://dx.doi.org/10.1186/s13660-018-1706-y
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author Chen, Qiang
Yang, Bicheng
author_facet Chen, Qiang
Yang, Bicheng
author_sort Chen, Qiang
collection PubMed
description Using weight coefficients, a complex integral formula, and Hermite–Hadamard’s inequality, we give an extended reverse Hardy–Hilbert’s inequality in the whole plane with multiparameters and a best possible constant factor. Equivalent forms and a few particular cases are considered.
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spelling pubmed-59482822018-05-17 An extended reverse Hardy–Hilbert’s inequality in the whole plane Chen, Qiang Yang, Bicheng J Inequal Appl Research Using weight coefficients, a complex integral formula, and Hermite–Hadamard’s inequality, we give an extended reverse Hardy–Hilbert’s inequality in the whole plane with multiparameters and a best possible constant factor. Equivalent forms and a few particular cases are considered. Springer International Publishing 2018-05-11 2018 /pmc/articles/PMC5948282/ /pubmed/29780212 http://dx.doi.org/10.1186/s13660-018-1706-y 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
Chen, Qiang
Yang, Bicheng
An extended reverse Hardy–Hilbert’s inequality in the whole plane
title An extended reverse Hardy–Hilbert’s inequality in the whole plane
title_full An extended reverse Hardy–Hilbert’s inequality in the whole plane
title_fullStr An extended reverse Hardy–Hilbert’s inequality in the whole plane
title_full_unstemmed An extended reverse Hardy–Hilbert’s inequality in the whole plane
title_short An extended reverse Hardy–Hilbert’s inequality in the whole plane
title_sort extended reverse hardy–hilbert’s inequality in the whole plane
topic Research
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5948282/
https://www.ncbi.nlm.nih.gov/pubmed/29780212
http://dx.doi.org/10.1186/s13660-018-1706-y
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