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A reverse Hardy–Hilbert-type integral inequality involving one derivative function

Authors :
Bicheng Yang
Qian Chen
Source :
Journal of Inequalities and Applications, Vol 2020, Iss 1, Pp 1-12 (2020)
Publication Year :
2020
Publisher :
Springer Science and Business Media LLC, 2020.

Abstract

In this article, by using weight functions, the idea of introducing parameters, the reverse extended Hardy–Hilbert integral inequality and the techniques of real analysis, a reverse Hardy–Hilbert-type integral inequality involving one derivative function and the beta function is obtained. The equivalent statements of the best possible constant factor related to several parameters are considered. The equivalent form, the cases of non-homogeneous kernel and some particular inequalities are also presented.

Details

ISSN :
1029242X
Volume :
2020
Database :
OpenAIRE
Journal :
Journal of Inequalities and Applications
Accession number :
edsair.doi.dedup.....09dcd051f712fc222f81f4b9c921271b