Half-discrete Hilbert-type inequalities with mean operators, the best constants, and applications

DOI10.1016/j.amc.2014.01.011zbMath1410.26033OpenAlexW1982133845MaRDI QIDQ1644520

Vandanjav Adiyasuren, Tserendorj Batbold, Mario Krnić

Publication date: 21 June 2018

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

Full work available at URL: https://doi.org/10.1016/j.amc.2014.01.011

zbMATH Keywords

arithmetic meangeometric meanCarleman inequalityHardy inequalityharmonic meanhalf-discrete Hilbert-type inequalitythe best constantKnopp inequality

Mathematics Subject Classification ID

Inequalities for sums, series and integrals (26D15)

Related Items (18)

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Cites Work

• A multidimensional half-discrete Hilbert-type inequality and the Riemann zeta function
• On a half-discrete inequality with a generalized homogeneous kernel
• On a more accurate half-discrete Hilbert's inequality
• A unified treatment of half-discrete Hilbert-type inequalities with a homogeneous kernel
• On a Hardy-Carleman's type inequality
• On half-discrete Hilbert's inequality
• A half-discrete Hilbert-type inequality with a non-homogeneous kernel and two variables
• On several new Hilbert-type inequalities involving means operators
• Some new inequalities similar to Hilbert-type integral inequality with a homogeneous kernel
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