On a reverse Mulholland’s inequality in the whole plane

By introducing multi-parameters, applying the weight coefficients and Hermite–Hadamard’s inequality, we give a reverse of the extended Mulholland inequality in the whole plane with the best possible constant factor. The equivalent forms and a few particular cases are also considered.

Detalles Bibliográficos
Autores principales: Wang, Aizhen, 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/PMC5813076/
https://www.ncbi.nlm.nih.gov/pubmed/29491689
http://dx.doi.org/10.1186/s13660-018-1634-x
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author Wang, Aizhen
Yang, Bicheng
author_facet Wang, Aizhen
Yang, Bicheng
author_sort Wang, Aizhen
collection PubMed
description By introducing multi-parameters, applying the weight coefficients and Hermite–Hadamard’s inequality, we give a reverse of the extended Mulholland inequality in the whole plane with the best possible constant factor. The equivalent forms and a few particular cases are also considered.
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spelling pubmed-58130762018-02-26 On a reverse Mulholland’s inequality in the whole plane Wang, Aizhen Yang, Bicheng J Inequal Appl Research By introducing multi-parameters, applying the weight coefficients and Hermite–Hadamard’s inequality, we give a reverse of the extended Mulholland inequality in the whole plane with the best possible constant factor. The equivalent forms and a few particular cases are also considered. Springer International Publishing 2018-02-14 2018 /pmc/articles/PMC5813076/ /pubmed/29491689 http://dx.doi.org/10.1186/s13660-018-1634-x 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
Wang, Aizhen
Yang, Bicheng
On a reverse Mulholland’s inequality in the whole plane
title On a reverse Mulholland’s inequality in the whole plane
title_full On a reverse Mulholland’s inequality in the whole plane
title_fullStr On a reverse Mulholland’s inequality in the whole plane
title_full_unstemmed On a reverse Mulholland’s inequality in the whole plane
title_short On a reverse Mulholland’s inequality in the whole plane
title_sort on a reverse mulholland’s inequality in the whole plane
topic Research
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5813076/
https://www.ncbi.nlm.nih.gov/pubmed/29491689
http://dx.doi.org/10.1186/s13660-018-1634-x
work_keys_str_mv AT wangaizhen onareversemulhollandsinequalityinthewholeplane
AT yangbicheng onareversemulhollandsinequalityinthewholeplane

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