A new reverse Mulholland-type inequality with multi-parameters

In this paper, we present a new reverse Mulholland-type inequality with multi-parameters and deal with its equivalent forms. Based on the obtained inequalities, the equivalent statements of the best possible constant factor related to several parameters are discussed. As an application, some interes...

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Main Authors: Bicheng Yang, Shanhe Wu, Aizhen Wang
Format: Article
Language:English
Published: AIMS Press 2021-07-01
Series:AIMS Mathematics
Subjects:
Online Access:https://aimspress.com/article/doi/10.3934/math.2021578?viewType=HTML
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spelling doaj-59b69037f97444228839b2bac5c149452021-07-21T02:50:16ZengAIMS PressAIMS Mathematics2473-69882021-07-01699939995410.3934/math.2021578A new reverse Mulholland-type inequality with multi-parametersBicheng Yang 0Shanhe Wu1Aizhen Wang21. Institute of Applied Mathematics, Longyan University, Longyan, 364012, China2. Department of Mathematics, Longyan University, Longyan, 364012, China3. Department of Mathematics, Guangdong University of Education, Guangzhou, 510303, ChinaIn this paper, we present a new reverse Mulholland-type inequality with multi-parameters and deal with its equivalent forms. Based on the obtained inequalities, the equivalent statements of the best possible constant factor related to several parameters are discussed. As an application, some interesting inequalities for double series are derived from the special cases of our main results.https://aimspress.com/article/doi/10.3934/math.2021578?viewType=HTMLmulholland-type inequalitydouble series inequalitiesweight coefficientmulti-parametersequivalent statement
collection DOAJ
language English
format Article
sources DOAJ
author Bicheng Yang
Shanhe Wu
Aizhen Wang
spellingShingle Bicheng Yang
Shanhe Wu
Aizhen Wang
A new reverse Mulholland-type inequality with multi-parameters
AIMS Mathematics
mulholland-type inequality
double series inequalities
weight coefficient
multi-parameters
equivalent statement
author_facet Bicheng Yang
Shanhe Wu
Aizhen Wang
author_sort Bicheng Yang
title A new reverse Mulholland-type inequality with multi-parameters
title_short A new reverse Mulholland-type inequality with multi-parameters
title_full A new reverse Mulholland-type inequality with multi-parameters
title_fullStr A new reverse Mulholland-type inequality with multi-parameters
title_full_unstemmed A new reverse Mulholland-type inequality with multi-parameters
title_sort new reverse mulholland-type inequality with multi-parameters
publisher AIMS Press
series AIMS Mathematics
issn 2473-6988
publishDate 2021-07-01
description In this paper, we present a new reverse Mulholland-type inequality with multi-parameters and deal with its equivalent forms. Based on the obtained inequalities, the equivalent statements of the best possible constant factor related to several parameters are discussed. As an application, some interesting inequalities for double series are derived from the special cases of our main results.
topic mulholland-type inequality
double series inequalities
weight coefficient
multi-parameters
equivalent statement
url https://aimspress.com/article/doi/10.3934/math.2021578?viewType=HTML
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