A REVERSE MORE ACCURATE HARDY-HILBERT'S INEQUALITY

Aizhen Wang; Bicheng Yang

doi:10.11948/20210297

2022 Volume 12 Issue 2

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Aizhen Wang, Bicheng Yang. A REVERSE MORE ACCURATE HARDY-HILBERT'S INEQUALITY[J]. Journal of Applied Analysis & Computation, 2022, 12(2): 720-735. doi: 10.11948/20210297

Citation:

Aizhen Wang, Bicheng Yang. A REVERSE MORE ACCURATE HARDY-HILBERT'S INEQUALITY[J]. Journal of Applied Analysis & Computation, 2022, 12(2): 720-735. doi: 10.11948/20210297

A REVERSE MORE ACCURATE HARDY-HILBERT'S INEQUALITY

Aizhen Wang^1,,
Bicheng Yang^1, ,

1.
School of Mathematics, Guangdong University of Education, Guangzhou, Guangdong 510303, China

Author Bio: Email: ershimath@163.com(A. Wang)
Corresponding author: Email: bcyang@gdei.edu.cn(B. Yang)
Fund Project: The authors were supported by the National Natural Science Foundation (No. 61772140), and the Characteristic Innovation Project of Guangdong Provincial Colleges and Universities in 2020 (No. 2020KTSCX088)

Abstract

Abstract

By means of the weight coefficients, the idea of introduced parameters, Hermite-Hadamard's inequality and Euler-Maclaurin summation formula, a reverse more accurate Hardy-Hilbert's inequality and the equivalent forms are given. The equivalent statements of the best possible constant factor related to a few parameters are also considered, and some particular reverse inequalities are obtained.
- Weight coefficient /
- Hermite-Hadamard's inequality /
- Hardy-Hilbert's inequality /
- reverse /
- equivalent statement /
- parameter
MSC: 26D15

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References

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