On a multidimensional Hilbert-type integral inequality associated to the gamma function

DOI10.1016/J.AMC.2014.10.037zbMath1338.33011OpenAlexW2049752240MaRDI QIDQ298621

Bicheng Yang, Michael Th. Rassias

Publication date: 21 June 2016

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2014.10.037

zbMATH Keywords

gamma functionweight functionequivalent formHilbert-type integral inequalityHilbert-type integral operator

Mathematics Subject Classification ID

Gamma, beta and polygamma functions (33B15) Functional inequalities, including subadditivity, convexity, etc. (39B62)

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Cites Work

• Unnamed Item
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• A multidimensional half-discrete Hilbert-type inequality and the Riemann zeta function
• On half-discrete Hilbert's inequality
• The Hilbert-type integral inequalities with a homogeneous kernel of \( - \lambda \)-degree
• On a Hilbert-type integral inequality in the subinterval and its operator expression
• On Hilbert's integral inequality
• Half-discrete Hilbert-type inequalities with mean operators, the best constants, and applications
• On several new Hilbert-type inequalities involving means operators
• On a multiple Hilbert-type integral inequality with the symmetric kernel
• Best constants for certain multilinear integral operators
• Some new inequalities similar to Hilbert-type integral inequality with a homogeneous kernel
• Hilbert-Type Integral Operators: Norms and Inequalities
• On the way of weight coefficient and research for the Hilbert-type inequalities
• Hilbert-Type Integral Inequalities
• On inequalities of Hilbert's type

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