On a more accurate Hardy-Mulholland-type inequality

Abstract By using weight coefficients, technique of real analysis, and Hermite-Hadamard’s inequality, we give a more accurate Hardy-Mulholland-type inequality with multiparameters and a best possible constant factor related to the beta function. The equivalent forms, the reverses, the operator expre...

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Main Authors: Bicheng Yang, Qiang Chen
Format: Article
Language:English
Published: SpringerOpen 2016-03-01
Series:Journal of Inequalities and Applications
Subjects:
Online Access:http://link.springer.com/article/10.1186/s13660-016-1026-z
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spelling doaj-0b78175501e043488785db619c8522f22020-11-24T21:13:49ZengSpringerOpenJournal of Inequalities and Applications1029-242X2016-03-012016111610.1186/s13660-016-1026-zOn a more accurate Hardy-Mulholland-type inequalityBicheng Yang0Qiang Chen1Department of Mathematics, Guangdong University of EducationDepartment of Computer Science, Guangdong University of EducationAbstract By using weight coefficients, technique of real analysis, and Hermite-Hadamard’s inequality, we give a more accurate Hardy-Mulholland-type inequality with multiparameters and a best possible constant factor related to the beta function. The equivalent forms, the reverses, the operator expressions, and some particular cases are also considered.http://link.springer.com/article/10.1186/s13660-016-1026-zHardy-Mulholland-type inequalityweight coefficientequivalent formreverseoperator
collection DOAJ
language English
format Article
sources DOAJ
author Bicheng Yang
Qiang Chen
spellingShingle Bicheng Yang
Qiang Chen
On a more accurate Hardy-Mulholland-type inequality
Journal of Inequalities and Applications
Hardy-Mulholland-type inequality
weight coefficient
equivalent form
reverse
operator
author_facet Bicheng Yang
Qiang Chen
author_sort Bicheng Yang
title On a more accurate Hardy-Mulholland-type inequality
title_short On a more accurate Hardy-Mulholland-type inequality
title_full On a more accurate Hardy-Mulholland-type inequality
title_fullStr On a more accurate Hardy-Mulholland-type inequality
title_full_unstemmed On a more accurate Hardy-Mulholland-type inequality
title_sort on a more accurate hardy-mulholland-type inequality
publisher SpringerOpen
series Journal of Inequalities and Applications
issn 1029-242X
publishDate 2016-03-01
description Abstract By using weight coefficients, technique of real analysis, and Hermite-Hadamard’s inequality, we give a more accurate Hardy-Mulholland-type inequality with multiparameters and a best possible constant factor related to the beta function. The equivalent forms, the reverses, the operator expressions, and some particular cases are also considered.
topic Hardy-Mulholland-type inequality
weight coefficient
equivalent form
reverse
operator
url http://link.springer.com/article/10.1186/s13660-016-1026-z
work_keys_str_mv AT bichengyang onamoreaccuratehardymulhollandtypeinequality
AT qiangchen onamoreaccuratehardymulhollandtypeinequality
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