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On an infinite series for \((1 + 1/x)^{x}\) and its application

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Publication:1607901
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DOI10.1155/S0161171202007779zbMath1029.26010OpenAlexW1589581229MaRDI QIDQ1607901

Hongwei Chen

Publication date: 13 August 2002

Published in: International Journal of Mathematics and Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/50504


zbMATH Keywords

recurrence relationCarleman's inequality


Mathematics Subject Classification ID

Inequalities for sums, series and integrals (26D15)


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 ⋮ 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 ⋮ Continued fractions and inequalities about \(\left( 1+\frac{1}{x}\right)^x\) ⋮ New strengthened Carleman's inequality and Hardy's inequality ⋮ Some inequalities related to two expansions of \((1+1/x)^{x}\)







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