On a more accurate half-discrete multidimensional Hilbert-type inequality involving one derivative function of \(m\)-order

DOI10.1186/s13660-023-02980-8MaRDI QIDQ6067254

Yong Hong, Yanru Zhong, Bicheng Yang

Publication date: 14 December 2023

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

zbMATH Keywords

beta functionweight functionparameterderivative function of m-orderhalf-discrete multidimensional Hilbert-type inequality

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)

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
• Multiple Hilbert-type inequalities involving some differential operators
• On a multidimensional half-discrete Hilbert-type inequality related to the hyperbolic cotangent function
• On the norm of a Hilbert's type linear operator and applications
• 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
• A new discrete Hilbert-type inequality involving partial sums
• On a new Hilbert-type integral inequality involving the upper limit functions
• The connection between Hilbert and Hardy inequalities
• On a half-discrete Hilbert-type inequality similar to Mulholland's inequality
• On the norm of an integral operator and applications
• Sharp bounds for m-linear Hilbert-type operators on the weighted Morrey spaces
• 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