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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Online Access: | http://link.springer.com/article/10.1186/s13660-016-1026-z |
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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 |
_version_ |
1716748056696717312 |