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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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 |
_version_ |
1725904930111225856 |