On a reverse extended Hardy-Hilbert's inequality

DOI10.1186/S13660-020-02333-9zbMath1503.26056OpenAlexW3029413598MaRDI QIDQ2069347

Yanping Shi, Bicheng Yang, Zhenxiao Huang

Publication date: 20 January 2022

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13660-020-02333-9

zbMATH Keywords

reverseweight coefficientHardy-Hilbert inequalityequivalent statement

Mathematics Subject Classification ID

Gamma, beta and polygamma functions (33B15) Inequalities for sums, series and integrals (26D15) Inequalities involving derivatives and differential and integral operators (26D10)

Related Items (3)

Equivalent conditions of a multiple Hilbert-type integral inequality with the nonhomogeneous kernel ⋮ A new reverse Hardy-Hilbert inequality with the power function as intermediate variables ⋮ An extended Hardy-Hilbert's inequality with parameters and applications

Cites Work

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• Equivalent property of a Hilbert-type integral inequality related to the beta function in the whole plane
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• Necessary and sufficient conditions for the validity of Hilbert type integral inequalities with a class of quasi-homogeneous kernels and its application in operator theory
• Hilbert-type inequalities involving differential operators, the best constants, and applications
• A new extension of a Hardy-Hilbert-type inequality
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