一类非齐次核逆向的Hardy型积分不等式成立的等价条件

Journal of Jilin University Science Edition

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Equivalent Conditions of Existence of a Class of Reverse HardyType Integral Inequalities with Nonhomogeneous Kernel

YANG Bicheng¹, CHEN Qiang²

1. Department of Mathematics, Guangdong University of Education, Guangzhou 510303, China;2. Department of Computer Science, Guangdong University of Education, Guangzhou 510303, China

Received:2016-12-26 Online:2017-07-26 Published:2017-07-13
Contact: YANG Bicheng E-mail:bcyang@gdei.edu.cn

Abstract

Abstract: By using the skill of real analysis and method of weight functions, we discussed some equivalent conditions of the existence of a class of reverse Hardytype integral inequalities with the nonhomogeneous kernel, which related to the configuration of parameters and the integrals of the kernel. Then the reverse problem of the existence of the reverse Hardytype integral inequality was solved.

Key words: kernel, equivalence, Hilberttype integral inequality, parameter, Hardytype integral inequality

CLC Number:

O178

YANG Bicheng, CHEN Qiang. Equivalent Conditions of Existence of a Class of Reverse HardyType Integral Inequalities with Nonhomogeneous Kernel[J].Journal of Jilin University Science Edition, 2017, 55(04): 804-808.

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Equivalent Conditions of Existence of a Class of Reverse HardyType Integral Inequalities with Nonhomogeneous Kernel

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