On strengthened weighted Carleman's inequality

DOI10.1017/S0004972700037886zbMath1049.26008OpenAlexW1984416285MaRDI QIDQ4464327

Aleksandra Čižmešija, Lars-Erik Persson, Josip E. Pečarić

Publication date: 27 May 2004

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0004972700037886

zbMATH Keywords

Carleman inequalityweighted arithmetic-geometric inequality

Mathematics Subject Classification ID

Inequalities for sums, series and integrals (26D15) Means (26E60)

Related Items (6)

Sharp, double inequalities bounding the function (1+x)^(1/x) and a refinement of Carleman'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 ⋮ New strengthened Carleman's inequality and Hardy's inequality ⋮ A note on two weighted discrete Carleman inequalities

Cites Work

• On Hardy's inequality
• A best approximation for constant \(e\) and an improvement to Hardy's inequality
• On Carleman and Knopp's inequalities.
• A strengthened Carleman's inequality
• On Carleman's inequality
• Carleman's inequality: History and new generalizations
• Approximations for constant \(e\) and their applications
• On a conjecture by Yang

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