Equivalent statements of a more accurate extended Mulholland's inequality with a best possible constant factor

DOI10.7153/mia-2020-23-18zbMath1439.26049OpenAlexW3005490980MaRDI QIDQ5108669

Yanru Zhong, Meifa Huang, Bicheng Yang

Publication date: 5 May 2020

Published in: Mathematical Inequalities & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.7153/mia-2020-23-18

zbMATH Keywords

weight functionHermite-Hadamard inequalityoperator expressionequivalent statementMulholland inequality

Mathematics Subject Classification ID

Inequalities for sums, series and integrals (26D15) Inequalities involving derivatives and differential and integral operators (26D10)

Related Items (8)

Equivalent conditions of a multiple Hilbert-type integral inequality with the nonhomogeneous kernel ⋮ A new reverse Mulholland-type inequality with multi-parameters ⋮ A new Hilbert-type inequality in the whole plane ⋮ Unnamed Item ⋮ On a more accurate Hilbert-type inequality in the whole plane with the general homogeneous kernel ⋮ On a multiple Hilbert-type integral inequality involving the upper limit functions ⋮ On a reverse Mulholland-type inequality in the whole plane with general homogeneous kernel ⋮ An extended Hardy-Hilbert's inequality with parameters and applications

Cites Work

• 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
• A refined discrete Hilbert inequality obtained via the Hermite-Hadamard inequality
• 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
• The connection between Hilbert and Hardy inequalities
• On a half-discrete Hilbert-type inequality similar to Mulholland's inequality
• 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
• A more accurate multidimensional Hardy-Hilbert type inequality with a general homogeneous kernel
• 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
• On the best constant in Hilbert's inequality
• A new extension of a Hardy-Hilbert-type inequality

This page was built for publication: Equivalent statements of a more accurate extended Mulholland's inequality with a best possible constant factor