New strengthened Carleman's inequality and Hardy's inequality

DOI10.1155/2007/84104zbMath1133.26310OpenAlexW2080406877WikidataQ59212954 ScholiaQ59212954MaRDI QIDQ2471962

Ling Zhu, Haiping Liu

Publication date: 19 February 2008

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

Full work available at URL: https://eudml.org/doc/128602

Mathematics Subject Classification ID

Inequalities for sums, series and integrals (26D15)

Related Items (9)

Sharp, double inequalities bounding the function (1+x)^(1/x) and a refinement of Carleman's inequality ⋮ Approximation for constant \(e\) and its applications ⋮ Improved Carleman's Inequality and Improvement of Polya-Knopp's Inequality ⋮ 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 ⋮ An inequality involving the constant e and a generalized Carleman-type inequality ⋮ A new method to study analytic inequalities ⋮ Some inequalities related to two expansions of \((1+1/x)^{x}\) ⋮ A note on Hardy's inequality

Cites Work

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• On an infinite series for \((1 + 1/x)^{x}\) and its application
• A best approximation for constant \(e\) and an improvement to Hardy's inequality
• On Carleman and Knopp's inequalities.
• Note on weighted Carleman-type inequality
• On strengthened weighted Carleman's inequality
• A strengthened Carleman's inequality
• On Carleman's inequality
• Approximations for constant \(e\) and their applications
• On a conjecture by Yang

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