Sharp inequalities involving the constanteand the sequence (1 + 1/n)n

DOI10.1080/00207390902912902zbMath1297.97018OpenAlexW2044245853WikidataQ99705151 ScholiaQ99705151MaRDI QIDQ5187786

Necdet Batir, Murat Cancan

Publication date: 1 March 2010

Published in: International Journal of Mathematical Education in Science and Technology (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207390902912902

zbMATH Keywords

Euler numberlogarithmic functionconstant \(e\)logarithmic inequalities

Mathematics Subject Classification ID

Elementary functions (26A09) Inequalities involving other types of functions (26D07) Sequences and series (educational aspects) (97I30) Mappings and functions (educational aspects) (97I20)

Related Items (3)

A logarithmic inequality ⋮ Sharp inequalities related to the constant \(e\) ⋮ Inequalities and asymptotic formulas for \((1+1/x)^{x+a}\)

Cites Work

• On the identric and logarithmic means
• 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
• Notes on an inequality involving the constant \(e\)
• A best approximation for constant \(e\) and an improvement to Hardy's inequality
• On certain means of two arguments and their extensions
• On Carleman and Knopp's inequalities.
• Generalizations of the Logarithmic Mean
• A strengthened Carleman's inequality
• On Carleman's inequality
• Approximations for constant \(e\) and their applications

This page was built for publication: Sharp inequalities involving the constanteand the sequence (1 + 1/n)ⁿ