A class of Hilbert-type multiple integral inequalities with the kernel of generalized homogeneous function and its applications

DOI10.1186/S13660-020-02401-0zbMath1503.26054OpenAlexW3032097001MaRDI QIDQ2069445

Bicheng Yang, Qiang Chen, Jianquan Liao, Yong Hong

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/s13660-020-02401-0

zbMATH Keywords

operator normnecessary and sufficient conditionbounded operatorbest constant factorgeneralized homogeneous kernelHilbert-type multiple integral inequality

Mathematics Subject Classification ID

Variational and other types of inequalities involving nonlinear operators (general) (47J20) Inequalities for sums, series and integrals (26D15)

Related Items (7)

Equivalent conditions of a multiple Hilbert-type integral inequality with the nonhomogeneous kernel ⋮ A Hilbert-type inequality in the whole plane with the constant factor related to some special constants ⋮ More accurate form of half-discrete Hilbert-type inequality with a general kernel ⋮ On a half-discrete Hilbert-type inequality related to hyperbolic functions ⋮ On a more accurate half-discrete Hilbert-type inequality involving hyperbolic functions ⋮ An extended Hardy-Hilbert's inequality with parameters and applications ⋮ On a more accurate Hilbert-type inequality involving the partial sums

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