Parameterized more accurate Hardy-Hilbert-type inequalities and applications

DOI10.7153/jmi-2023-17-81OpenAlexW4391457278WikidataQ128868371 ScholiaQ128868371MaRDI QIDQ6200287

Yong Hong, Yanru Zhong, Bicheng Yang

Publication date: 29 February 2024

Published in: Journal of Mathematical Inequalities (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.7153/jmi-2023-17-81

zbMATH Keywords

parameterHardy-Hilbert-type inequalityweight coefficientoperator expressionHermite-Hadamard's inequalityequivalent statement

Mathematics Subject Classification ID

Inequalities for sums, series and integrals (26D15)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A multidimensional half-discrete Hilbert-type inequality and the Riemann zeta function
• On a multidimensional half-discrete Hilbert-type inequality related to the hyperbolic cotangent function
• A multiple Hilbert-type discrete inequality with a new kernel and best possible constant factor
• Multiple Hilbert's type inequalities with a homogeneous kernel
• On half-discrete Hilbert's inequality
• On Hilbert's integral inequality
• The necessary and sufficient conditions for the existence of a kind of Hilbert-type multiple integral inequality with the non-homogeneous kernel and its applications
• Equivalent property of a Hilbert-type integral inequality related to the beta function in the whole plane
• Equivalent property of a half-discrete Hilbert's inequality with parameters
• The connection between Hilbert and Hardy inequalities
• On a half-discrete Hilbert-type inequality similar to Mulholland's inequality
• On a more accurate multidimensional Hilbert-type inequality with parameters
• 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 Integral Inequalities
• Hilbert-type inequalities involving differential operators, the best constants, and applications
• A new extension of a Hardy-Hilbert-type inequality

This page was built for publication: Parameterized more accurate Hardy-Hilbert-type inequalities and applications