On a more accurate half-discrete Hardy-Hilbert-type inequality related to the kernel of exponential function

DOI10.1186/s13660-016-1090-4zbMath1345.26036OpenAlexW2467280611WikidataQ59467344 ScholiaQ59467344MaRDI QIDQ300541

Bicheng Yang, Jianquan Liao

Publication date: 28 June 2016

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

Full work available at URL: https://doi.org/10.1186/s13660-016-1090-4

zbMATH Keywords

weight functionoperatorequivalent formHardy-Hilbert-type inequalityreverse

Mathematics Subject Classification ID

Inequalities for sums, series and integrals (26D15)

Cites Work

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• A survey on the study of Hilbert-type inequalities
• A Hilbert-type integral inequality in the whole plane with a non-homogeneous kernel and a few parameters
• A strengthened Mulholland-type inequality with parameters
• On a Hardy-Hilbert-type inequality with 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 a multidimensional Hilbert-type integral inequality associated to the gamma function
• A half-discrete Hilbert-type inequality with a homogeneous kernel and an extension
• On half-discrete Hilbert's inequality
• On some extensions of Hardy-Hilbert's inequality and applications
• 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
• On a multidimensional version of the Hilbert type inequality
• A half-discrete Hilbert-type inequality with a non-homogeneous kernel and two variables
• A Hilbert-type integral inequality in the whole plane related to the hypergeometric function and the beta function
• On a multiple Hilbert-type integral inequality with the symmetric kernel
• Best constants for certain multilinear integral operators
• On a more accurate multidimensional Hilbert-type inequality with parameters
• On the way of weight coefficient and research for the Hilbert-type inequalities
• Hilbert-Type Integral Inequalities
• On some higher-dimensional Hilbert's and Hardy-Hilbert's integral inequalities with parameters