A best approximation for constant \(e\) and an improvement to Hardy's inequality

DOI10.1006/JMAA.2000.6981zbMath0988.26017OpenAlexW2041676614MaRDI QIDQ1840558

Yibing Zhong, Zi-Tian Xie

Publication date: 1 July 2002

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

Full work available at URL: https://doi.org/10.1006/jmaa.2000.6981

zbMATH Keywords

generalized Carleman's inequality

Mathematics Subject Classification ID

Inequalities for sums, series and integrals (26D15)

Related Items (11)

Sharp, double inequalities bounding the function (1+x)^(1/x) and a refinement of Carleman's inequality ⋮ Approximation for constant \(e\) and its applications ⋮ Approximation formulas for the constant \(e\) and an improvement to a Carleman-type inequality ⋮ Padé approximant related to inequalities involving the constant \(e\) and a generalized Carleman-type inequality ⋮ Unnamed Item ⋮ An inequality involving the constant e and a generalized Carleman-type inequality ⋮ New strengthened Carleman's inequality and Hardy's inequality ⋮ Sharp inequalities involving the constanteand the sequence (1 + 1/n)ⁿ ⋮ Approximations for constant \(e\) and their applications ⋮ On strengthened weighted Carleman's inequality ⋮ On certain generalizations of the Hardy inequality

Cites Work

• Some inequalities involving the constant \(e\), and an application to Carleman's inequality
• On Hardy's inequality

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