Estimates of (1+x)1/x involved in Carleman’s inequality and Keller’s limit

DOI10.2298/FIL1507535MzbMath1474.26062OpenAlexW1586070279MaRDI QIDQ5278678

X.-J. Jang, Cristinel Mortici

Publication date: 19 July 2017

Published in: Filomat (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2298/fil1507535m

zbMATH Keywords

approximationsCarleman's inequalityKeller's limitnumber $e$

Mathematics Subject Classification ID

Elementary functions (26A09) Inequalities involving other types of functions (26D07) Exponential and trigonometric functions (33B10)

Related Items (8)

On the Keller limit and generalization ⋮ Sharp, double inequalities bounding the function (1+x)^(1/x) and a refinement of Carleman's inequality ⋮ Continued fraction inequalities related to \((1+\frac{1}{x})^x\) ⋮ Approximation formulas for the constant \(e\) and an improvement to a Carleman-type inequality ⋮ Accurate estimates of (1+x)1/x involved in Carleman inequality and Keller limit ⋮ An inequality involving the constant e and a generalized Carleman-type inequality ⋮ Some inequalities related to two expansions of \((1+1/x)^{x}\) ⋮ Approximation properties related to the Bell polynomials

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