具有一个导函数的Hardy-Hilbert型积分不等式

Journal of Jilin University Science Edition ›› 2021, Vol. 59 ›› Issue (6): 1380-1386.

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Hardy-Hilbert-Type Integral Inequality with a Derivative Function

XIN Dongmei¹, YANG Bicheng¹， YAN Zhilai²

1. School of Mathematics, Guangdong University of Education, Guangzhou 510303, China;
2. School of Public Health and Management, Guangzhou University of Chinese Medicine, Guangzhou 510006, China

Received:2021-02-01 Online:2021-11-26 Published:2021-11-26

Abstract

Abstract: Using the weight function method, the idea of parameterization and the technique of real analysis, we established a new Hardy-Hilbert-type integral inequality with a derivative function, gave the best constant factor and the equivalent properties of multiple parameters related to the inequality, and gave the similar case of the nonhomogeneous kernel and some special cases.

Key words: weight function, Hardy-Hilbert-type integral inequality, derivative function, parameter, Beta function

CLC Number:

O178

XIN Dongmei, YANG Bicheng, YAN Zhilai. Hardy-Hilbert-Type Integral Inequality with a Derivative Function[J].Journal of Jilin University Science Edition, 2021, 59(6): 1380-1386.

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Hardy-Hilbert-Type Integral Inequality with a Derivative Function

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