On certain inequalities involving the constant \(e\) and their applications

DOI10.1006/jmaa.2000.6911zbMath0965.26007OpenAlexW2090259575MaRDI QIDQ1587445

József Sándor, Lokenath Debnath

Publication date: 17 July 2001

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

Full work available at URL: https://doi.org/10.1006/jmaa.2000.6911

zbMATH Keywords

inequalitieslimitsmean values

Mathematics Subject Classification ID

Convergence and divergence of series and sequences (40A05) Inequalities involving derivatives and differential and integral operators (26D10) Inequalities involving other types of functions (26D07) Exponential and trigonometric functions (33B10)

Related Items (13)

On the Keller limit and generalization ⋮ Some completely monotonic functions relating to the gamma function ⋮ Approximation for constant \(e\) and its applications ⋮ New Sharp Bounds for Gamma and Digamma Functions ⋮ Continued fraction approximation and inequality of the gamma function ⋮ A class of integral approximations for the factorial function ⋮ Sharp inequalities involving the constanteand the sequence (1 + 1/n)ⁿ ⋮ Approximations for constant \(e\) and their applications ⋮ A method to construct continued-fraction approximations and its applications ⋮ On some convergence to the constant \(e\) and proof of Keller's limit ⋮ A brief history of the most remarkable numberse,iand γ in mathematical sciences with applications ⋮ An ultimate extremely accurate formula for approximation of the factorial function ⋮ A product approximation of the gamma function

Cites Work

• Unnamed Item
• On the identric and logarithmic means
• Some integral inequalities
• Ungleichungen für Mittelwerte. (Inequalities for means)
• Some inequalities involving the constant \(e\), and an application to Carleman's inequality
• On certain inequalities for means
• The Power and Generalized Logarithmic Means
• On the Functional Inequality f(x + y) ≧f(x)f(y)
• Analytic Inequalities

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