A more accurate Mulholland-type inequality in the whole plane

Abstract By introducing independent parameters, applying the weight coefficients, and Hermite-Hadamard’s inequality, we give a more accurate Mulholland-type inequality in the whole plane with a best possible constant factor. Furthermore, the equivalent forms, the reverses, a few particular cases, an...

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Main Authors: Yanru Zhong, Bicheng Yang, Qiang Chen
Format: Article
Language:English
Published: SpringerOpen 2017-12-01
Series:Journal of Inequalities and Applications
Subjects:
Online Access:http://link.springer.com/article/10.1186/s13660-017-1589-3
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spelling doaj-52e68d9f4e8c4735aca7a7ab3a5c7a3f2020-11-24T21:45:41ZengSpringerOpenJournal of Inequalities and Applications1029-242X2017-12-012017111510.1186/s13660-017-1589-3A more accurate Mulholland-type inequality in the whole planeYanru Zhong0Bicheng Yang1Qiang Chen2Guangxi Colleges and Universities Key Laboratory of Intelligent Processing of Computer Image and Graphics, Guilin University of Electronic TechnologyDepartment of Mathematics, Guangdong University of EducationDepartment of Computer Science, Guangdong University of EducationAbstract By introducing independent parameters, applying the weight coefficients, and Hermite-Hadamard’s inequality, we give a more accurate Mulholland-type inequality in the whole plane with a best possible constant factor. Furthermore, the equivalent forms, the reverses, a few particular cases, and the operator expressions are considered.http://link.springer.com/article/10.1186/s13660-017-1589-3Mulholland’s inequalityparameterweight coefficientequivalent formoperator expression
collection DOAJ
language English
format Article
sources DOAJ
author Yanru Zhong
Bicheng Yang
Qiang Chen
spellingShingle Yanru Zhong
Bicheng Yang
Qiang Chen
A more accurate Mulholland-type inequality in the whole plane
Journal of Inequalities and Applications
Mulholland’s inequality
parameter
weight coefficient
equivalent form
operator expression
author_facet Yanru Zhong
Bicheng Yang
Qiang Chen
author_sort Yanru Zhong
title A more accurate Mulholland-type inequality in the whole plane
title_short A more accurate Mulholland-type inequality in the whole plane
title_full A more accurate Mulholland-type inequality in the whole plane
title_fullStr A more accurate Mulholland-type inequality in the whole plane
title_full_unstemmed A more accurate Mulholland-type inequality in the whole plane
title_sort more accurate mulholland-type inequality in the whole plane
publisher SpringerOpen
series Journal of Inequalities and Applications
issn 1029-242X
publishDate 2017-12-01
description Abstract By introducing independent parameters, applying the weight coefficients, and Hermite-Hadamard’s inequality, we give a more accurate Mulholland-type inequality in the whole plane with a best possible constant factor. Furthermore, the equivalent forms, the reverses, a few particular cases, and the operator expressions are considered.
topic Mulholland’s inequality
parameter
weight coefficient
equivalent form
operator expression
url http://link.springer.com/article/10.1186/s13660-017-1589-3
work_keys_str_mv AT yanruzhong amoreaccuratemulhollandtypeinequalityinthewholeplane
AT bichengyang amoreaccuratemulhollandtypeinequalityinthewholeplane
AT qiangchen amoreaccuratemulhollandtypeinequalityinthewholeplane
AT yanruzhong moreaccuratemulhollandtypeinequalityinthewholeplane
AT bichengyang moreaccuratemulhollandtypeinequalityinthewholeplane
AT qiangchen moreaccuratemulhollandtypeinequalityinthewholeplane
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