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On some convergences to the constant e and improvements of Carlemans' inequality

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Publication:2806646
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zbMath1349.26062arXiv1312.6278MaRDI QIDQ2806646

Cristinel Mortici, Yue Hu

Publication date: 18 May 2016

Full work available at URL: https://arxiv.org/abs/1312.6278


zbMATH Keywords

inequalitiesapproximationsconstant \(e\)


Mathematics Subject Classification ID

Inequalities for sums, series and integrals (26D15)


Related Items (10)

On the Keller limit and generalization ⋮ Sharp, double inequalities bounding the function (1+x)^(1/x) and a refinement of Carleman's inequality ⋮ A new sequence related to the Euler-Mascheroni constant ⋮ Approximation formulas for the constant \(e\) and an improvement to a Carleman-type inequality ⋮ Some new approximations and inequalities of the sequence \((1+1/n)^n\) and improvements of Carleman's inequality ⋮ Padé approximant related to inequalities involving the constant \(e\) and a generalized Carleman-type inequality ⋮ Unnamed Item ⋮ An inequality involving the constant e and a generalized Carleman-type inequality ⋮ On some convergence to the constant \(e\) and proof of Keller's limit ⋮ Some inequalities related to two expansions of \((1+1/x)^{x}\)







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