On the Ghermănescu's sequence

Cristinel Mortici

Abstract


The aim of this work is to establish some properties of the Ghermănescu's sequence.

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References


M. Brede, On the Convergence of the Sequence Defining Euler's Number, Math. Intell. 27 (2005), no. 3, 6-7.

H. J. Brothers, J.A. Knox, New closed-form approximations to the logarithmic constant e, Math. Intell. 20 (1998), 25-29.

C.-P. Chen, J. Choi, Asymptotic formula for (1+1/x)x based on the partition function, Amer. Math. Monthly 121 (2014), 338-343.

C.-P. Chen, R.B. Paris, An inequality involving the constant e and a generalized Carleman-Type inequality, Math. Inequal. Appl. 23 (2020), no. 4, 1197-1203.

S. Fang, L. Lai, D. Lu, X. Wang, On Some Convergence to the Constant e and Proof of Keller's Limit, Res. Math. 73 2018, 12pp.

Y. Hu, C. Mortici, On the Keller limit and generalization, J. Inequal. Appl. 2016 2016, 4pp.

B. Malĕsević, Y. Hu, C. Mortici, Accurate estimates of (1 + x)1/x involved in Carleman inequality and Keller limit, Filomat 32 (2018), no. 13, 4673-4677.

C. Mortici, Y. Hu, On some convergences to the constant e and improvements of Carleman's inequality, Carpathian J. Math. 31 (2015), 249-254.

C. Mortici, X.-J. Jang, Estimates of (1 + x)1/x involved in Carleman's inequality and Keller's limit, Filomat 29 (2015), no.7, 1535-1539.




DOI: https://doi.org/10.52846/ami.v53i1.2172