A reverse extended Hardy-Hilbert's inequality with parameters

DOI10.1186/s13660-023-02967-5OpenAlexW4366392281MaRDI QIDQ6067236

Bicheng Yang, Ri-Cai Luo, Xing Shou Huang

Publication date: 14 December 2023

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

Full work available at URL: https://doi.org/10.1186/s13660-023-02967-5

zbMATH Keywords

parameterreverseweight coefficientHardy-Hilbert inequalityequivalent statement

Mathematics Subject Classification ID

Inequalities for sums, series and integrals (26D15) General (adjoints, conjugates, products, inverses, domains, ranges, etc.) (47A05) Inequalities involving derivatives and differential and integral operators (26D10)

Cites Work

• 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
• Extension of Hilbert's inequality
• On half-discrete Hilbert's 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
• A new discrete Hilbert-type inequality involving partial sums
• Parameterized discrete Hilbert-type inequalities with intermediate variables
• Equivalent properties of a reverse half-discrete Hilbert's inequality
• The connection between Hilbert and Hardy inequalities
• 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
• Two kinds of the reverse Hardy-type integral inequalities with the equivalent forms related to the extended Riemann zeta function
• A reverse Mulholland-type inequality in the whole plane with multi-parameters
• Hilbert-type inequalities involving differential operators, the best constants, and applications
• On an equivalent property of a reverse Hilbert-type integral inequality related to the extended Hurwitz-zeta function
• A new extension of a Hardy-Hilbert-type inequality
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item