Improving Some Sequences Convergent to Euler-Mascheroni Constant

• Batir, Necdet ^[1] ; Chen, Chao-Ping ^[2]
  1. [1] Nevşehir Hacı Bektaş Veli University

     Nevşehir Hacı Bektaş Veli University

     Turquía

     
  2. [2] Henan Polytechnic University

     Henan Polytechnic University

     China

     
• Localización: Proyecciones: Journal of Mathematics, ISSN 0716-0917, ISSN-e 0717-6279, Vol. 31, Nº. 1, 2012, págs. 29-38
• Idioma: inglés
• DOI: 10.4067/S0716-09172012000100004
• Enlaces
  • Texto completo
• Resumen

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

• Referencias bibliográficas
  • Citas [1] N. Batir, Sharp bounds for the psi function and harmonic numbers, Math. Inequal. Appl., No. 4, pp. 917-925, (2011).
  • [2] C-P Chen, C. Mortici, New sequences converging towards the EulerMascheroni constant, Computer and Mathematics with Applications, doi:10.1016/j.camwa.2011.03.099,...
  • [3] C-P. Chen, Inequalities for the Euler-Mascheroni constant, Appl. Math. Lett., 23, pp. 161-164, (2010).
  • [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).
  • [5] C. Mortici, Fast convergences toward Euler-Mascheroni constant, Comput. Appl. Math., 29, No. 3, pp. 479-491, (2010).
  • [6] C. Mortici, On new sequences converging towards the Euler-Mascheroni constant, Computer Math. Appl., 59, No. 8, pp. 2610-2614, (2010).
  • [7] C. Mortici, Optimizing the rate of convergence of some new classes of sequences convergent to Euler constant, Analysis Appl., 8, No. 1,...
  • [8] C. Mortici, A quicker convergence toward the constant with the logarithm term involving the constant e, Carpathian J. Math., 26, No. 1,...
  • [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).
  • [11] D. W. Temple, A quicker convergences to Euler’s constant, Amer. Math. Monthly, 100 (5), pp. 468-470,(1993).
  • [12] R. M. Young, Euler’s constant, Math. Gaz., 75, pp. 187-190, (1991).