EQUIVALENT PROPERTY OF A MORE ACCURATE HALF-DISCRETE HILBERT'S INEQUALITY

DOI10.11948/20190153zbMath1457.26019OpenAlexW3023970388MaRDI QIDQ5858047

Aizhen Wang, Bicheng Yang

Publication date: 9 April 2021

Published in: Journal of Applied Analysis & Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.11948/20190153

zbMATH Keywords

weight functionHermite-Hadamard inequalityequivalent statementhalf-discrete Hilbert inequality

Mathematics Subject Classification ID

Inequalities for sums, series and integrals (26D15)

Related Items (3)

Equivalent conditions of a multiple Hilbert-type integral inequality with the nonhomogeneous kernel ⋮ An extended Hardy-Hilbert's inequality with parameters and applications ⋮ On a more accurate Hilbert-type inequality involving the partial sums

Cites Work

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• 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
• The connection between Hilbert and Hardy inequalities
• A more accurate multidimensional Hardy-Hilbert type inequality with a general homogeneous kernel
• Hilbert-type inequalities involving differential operators, the best constants, and applications
• On an equivalent property of a reverse Hilbert-type integral inequality related to the extended Hurwitz-zeta function

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