A new reverse Mulholland-type inequality with multi-parameters

Bicheng Yang; Shanhe Wu; Aizhen Wang; Bicheng Yang; Shanhe Wu; Aizhen Wang

doi:10.3934/math.2021578

AIMS Mathematics

2021, Volume 6, Issue 9: 9939-9954. doi: 10.3934/math.2021578

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Research article

A new reverse Mulholland-type inequality with multi-parameters

1.
Institute of Applied Mathematics, Longyan University, Longyan, 364012, China
2.
Department of Mathematics, Longyan University, Longyan, 364012, China
3.
Department of Mathematics, Guangdong University of Education, Guangzhou, 510303, China

Received: 01 February 2021 Accepted: 22 June 2021 Published: 05 July 2021
MSC : 26D15, 26D10, 26A42

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.
- Mulholland-type inequality,
- double series inequalities,
- weight coefficient,
- multi-parameters,
- equivalent statement
Citation: Bicheng Yang, Shanhe Wu, Aizhen Wang. A new reverse Mulholland-type inequality with multi-parameters[J]. AIMS Mathematics, 2021, 6(9): 9939-9954. doi: 10.3934/math.2021578

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Abstract

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.

References

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