Approximation for constant \(e\) and its applications

DOI10.1016/j.amc.2008.08.031zbMath1172.26325OpenAlexW2057465674MaRDI QIDQ2379023

Kueiming Lo, Yong-In Kim, Xiaojing Yang

Publication date: 14 January 2009

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

Full work available at URL: https://doi.org/10.1016/j.amc.2008.08.031

zbMATH Keywords

Hardy's inequalityconstant \(e\)Carleman's inequality

Mathematics Subject Classification ID

Inequalities for sums, series and integrals (26D15)

Related Items (3)

Ramanujan formula for the generalized Stirling approximation ⋮ Estimating the digamma and trigamma functions by completely monotonicity arguments ⋮ New improvements of the Stirling formula

Cites Work

• Unnamed Item
• Some inequalities involving the constant \(e\), and an application to Carleman's inequality
• On Hardy's inequality
• On certain inequalities involving the constant \(e\) and their applications
• A best approximation for constant \(e\) and an improvement to Hardy's inequality
• New strengthened Carleman's inequality and Hardy's inequality
• On Carleman's inequality
• Approximations for constant \(e\) and their applications
• On a conjecture by Yang

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