Improving Some Sequences Convergent to Euler-Mascheroni Constant

Authors

  • Necdet Batir Nevsehir Haci Bektas Veli Üniversitesi.
  • Chao-Ping Chen Henan Polytechnic University.

DOI:

https://doi.org/10.4067/S0716-09172012000100004

Keywords:

Euler-Mascheroni constant, harmonic numbers, inequalities, asymptotic expansion, constante de Euler-Mascheroni, números armónicos, desigualdades, expansión asintótica.

Abstract

We obtain very fast sequences convergent to Euler-Mascheroni constant.

Author Biographies

Necdet Batir, Nevsehir Haci Bektas Veli Üniversitesi.

Department of Mathematics.

Chao-Ping Chen, Henan Polytechnic University.

School of Mathematics and Informatics.

References

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[4] C. Mortici, New approximation of the gamma function in terms of the digamma function, Appl. Math. Lett., 23, No. 1, pp. 97-100, (2010).

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[8] C. Mortici, A quicker convergence toward the constant with the logarithm term involving the constant e, Carpathian J. Math., 26, No. 1, pp. 86-91, (2010).

[9] T. Negoi, A faster convergence to the constant of Euler, Gazeta Matematica, Seria A, 15, No. 94, pp. 113, (1997).

[10] D. W. Temple, A geometric look at sequences that converge to Euler’s constant, College Math. J., 37, pp. 128-131, (2006).

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[12] R. M. Young, Euler’s constant, Math. Gaz., 75, pp. 187-190, (1991).

Published

2012-01-29

How to Cite

[1]
N. Batir and C.-P. Chen, “Improving Some Sequences Convergent to Euler-Mascheroni Constant”, Proyecciones (Antofagasta, On line), vol. 31, no. 1, pp. 29-38, Jan. 2012.

Issue

Section

Artículos