On a multiple Hilbert-type integral operator and applications

DOI10.1155/2009/192197zbMath1188.26011OpenAlexW2130535071WikidataQ59251503 ScholiaQ59251503MaRDI QIDQ962415

Bicheng Yang, Qiliang Huang

Publication date: 7 April 2010

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

Full work available at URL: https://eudml.org/doc/225138

zbMATH Keywords

beta functiongamma functionhomogeneous functionHardy-Hilbert's integral inequalityHardy-Hilbert's integral operator

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)

Related Items (13)

Equivalent conditions and applications of a class of Hilbert-type integral inequalities involving multiple functions with quasi-homogeneous kernels ⋮ Hilbert-Type Integral Operators: Norms and 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 ⋮ A more accurate half-discrete Hilbert inequality with a nonhomogeneous kernel ⋮ On a multiple Hilbert's inequality with parameters ⋮ Equivalent conditions of a Hilbert-type multiple integral inequality holding ⋮ A new multiple half-discrete Hilbert-type inequality with parameters and a best possible constant factor ⋮ 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 ⋮ A multiple Hilbert-type discrete inequality with a new kernel and best possible constant factor ⋮ On a composition of two Hilbert-Hardy-type integral operators and related inequalities ⋮ A class of Hilbert-type multiple integral inequalities with the kernel of generalized homogeneous function and its applications ⋮ On a multidimensional version of the Hilbert-type inequality in the whole plane ⋮ A survey on the study of Hilbert-type inequalities

Cites Work

• A bilinear inequality
• Best constants for certain multilinear integral operators
• On the way of weight coefficient and research for the Hilbert-type inequalities
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