Equivalent statements of a Hilbert-type integral inequality with the extended Hurwitz zeta function in the whole plane

DOI10.7153/jmi-2020-14-67zbMath1462.26032OpenAlexW3115018910MaRDI QIDQ5858263

Bicheng Yang, Aizhen Wang

Publication date: 12 April 2021

Published in: Journal of Mathematical Inequalities (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.7153/jmi-2020-14-67

zbMATH Keywords

Hurwitz zeta functionweight functionoperatorHilbert-type integral inequalityequivalent statement

Mathematics Subject Classification ID

Inequalities for sums, series and integrals (26D15) Numerical summation of series (65B10)

Related Items (1)

On a Hilbert-type integral inequality in the whole plane with the equivalent forms

Cites Work

• A Hilbert-type integral inequality in the whole plane with a non-homogeneous kernel and a few parameters
• 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
• On the norm of a Hilbert's type linear operator and applications
• On half-discrete Hilbert's inequality
• Recent developments of Hilbert-type discrete and integral inequalities with applications
• Hilbert-type and Hardy-type integral inequalities with operator expressions and the best constants in the whole plane
• A Hilbert-type integral inequality in the whole plane related to the hypergeometric function and the beta function
• On the norm of an integral operator and applications
• A Multidimensional Hilbert-Type Integral Inequality Related to the Riemann Zeta Function
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