On a reverse Mulholland’s inequality in the whole plane

Abstract 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.

Bibliographic Details
Main Authors:	Aizhen Wang, Bicheng Yang
Format:	Article
Language:	English
Published:	SpringerOpen 2018-02-01
Series:	Journal of Inequalities and Applications
Subjects:	Mulholland’s inequality Parameter Weight coefficient Equivalent form Reverse
Online Access:	http://link.springer.com/article/10.1186/s13660-018-1634-x

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spelling	doaj-07a8a326e1bd4b2f896f561fc73570aa2020-11-24T21:57:00ZengSpringerOpenJournal of Inequalities and Applications1029-242X2018-02-012018111410.1186/s13660-018-1634-xOn a reverse Mulholland’s inequality in the whole planeAizhen Wang0Bicheng Yang1Department of Mathematics, Guangdong University of EducationDepartment of Mathematics, Guangdong University of EducationAbstract 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.http://link.springer.com/article/10.1186/s13660-018-1634-xMulholland’s inequalityParameterWeight coefficientEquivalent formReverse
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Aizhen Wang Bicheng Yang
spellingShingle	Aizhen Wang Bicheng Yang On a reverse Mulholland’s inequality in the whole plane Journal of Inequalities and Applications Mulholland’s inequality Parameter Weight coefficient Equivalent form Reverse
author_facet	Aizhen Wang Bicheng Yang
author_sort	Aizhen Wang
title	On a reverse Mulholland’s inequality in the whole plane
title_short	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_sort	on a reverse mulholland’s inequality in the whole plane
publisher	SpringerOpen
series	Journal of Inequalities and Applications
issn	1029-242X
publishDate	2018-02-01
description	Abstract 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.
topic	Mulholland’s inequality Parameter Weight coefficient Equivalent form Reverse
url	http://link.springer.com/article/10.1186/s13660-018-1634-x
work_keys_str_mv	AT aizhenwang onareversemulhollandsinequalityinthewholeplane AT bichengyang onareversemulhollandsinequalityinthewholeplane
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On a reverse Mulholland’s inequality in the whole plane

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