Equivalent properties of a Mulholland-type inequality with a best possible constant factor and parameters

Abstract By means of the weight coefficients, using the idea of introduced parameters and the techniques of real analysis, a Mulholland-type inequality with a homogeneous kernel and an equivalent form are provided. Some equivalent statements of the best possible constant factor related to a few para...

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Main Authors:	Hongmin Mo, Bicheng Yang
Format:	Article
Language:	English
Published:	SpringerOpen 2019-05-01
Series:	Journal of Inequalities and Applications
Subjects:	Weight coefficient Mulholland-type inequality Parameter Equivalent form Operator expression
Online Access:	http://link.springer.com/article/10.1186/s13660-019-2083-x

id	doaj-503a4a956dab4242aab0eb35989901e9
record_format	Article
spelling	doaj-503a4a956dab4242aab0eb35989901e92020-11-25T03:10:25ZengSpringerOpenJournal of Inequalities and Applications1029-242X2019-05-012019111310.1186/s13660-019-2083-xEquivalent properties of a Mulholland-type inequality with a best possible constant factor and parametersHongmin Mo0Bicheng Yang1College of Mathematics and Statistics, Jishou UniversityDepartment of Mathematics, Guangdong University of EducationAbstract By means of the weight coefficients, using the idea of introduced parameters and the techniques of real analysis, a Mulholland-type inequality with a homogeneous kernel and an equivalent form are provided. Some equivalent statements of the best possible constant factor related to a few parameters are considered. Some particular inequalities and the operator expressions are obtained.http://link.springer.com/article/10.1186/s13660-019-2083-xWeight coefficientMulholland-type inequalityParameterEquivalent formOperator expression
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Hongmin Mo Bicheng Yang
spellingShingle	Hongmin Mo Bicheng Yang Equivalent properties of a Mulholland-type inequality with a best possible constant factor and parameters Journal of Inequalities and Applications Weight coefficient Mulholland-type inequality Parameter Equivalent form Operator expression
author_facet	Hongmin Mo Bicheng Yang
author_sort	Hongmin Mo
title	Equivalent properties of a Mulholland-type inequality with a best possible constant factor and parameters
title_short	Equivalent properties of a Mulholland-type inequality with a best possible constant factor and parameters
title_full	Equivalent properties of a Mulholland-type inequality with a best possible constant factor and parameters
title_fullStr	Equivalent properties of a Mulholland-type inequality with a best possible constant factor and parameters
title_full_unstemmed	Equivalent properties of a Mulholland-type inequality with a best possible constant factor and parameters
title_sort	equivalent properties of a mulholland-type inequality with a best possible constant factor and parameters
publisher	SpringerOpen
series	Journal of Inequalities and Applications
issn	1029-242X
publishDate	2019-05-01
description	Abstract By means of the weight coefficients, using the idea of introduced parameters and the techniques of real analysis, a Mulholland-type inequality with a homogeneous kernel and an equivalent form are provided. Some equivalent statements of the best possible constant factor related to a few parameters are considered. Some particular inequalities and the operator expressions are obtained.
topic	Weight coefficient Mulholland-type inequality Parameter Equivalent form Operator expression
url	http://link.springer.com/article/10.1186/s13660-019-2083-x
work_keys_str_mv	AT hongminmo equivalentpropertiesofamulhollandtypeinequalitywithabestpossibleconstantfactorandparameters AT bichengyang equivalentpropertiesofamulhollandtypeinequalitywithabestpossibleconstantfactorandparameters
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Equivalent properties of a Mulholland-type inequality with a best possible constant factor and parameters

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