NEW SHARP ESTIMATES OF THE GENERALIZED EULER-MASCHERONI CONSTANT

作者：Berinde Vasile^*; Mortici Cristinel

来源：Mathematical Inequalities & Applications, 2013, 16(1): 279-288.

DOI：10.7153/mia-16-21

• Euler-Mascheroni constant
• inequalities
• approximations

The aim of this paper is to establish new sequences which converge towards the Euler-Mascheroni constant. Our results solve some open problems posed by Berinde [A new generalization of Euler's constant Creat. Math. Inform. 18 (2009) no. 2 123-128] and extend some results of DeTemple, [A quicker convergence to Euler's constant Amer. Math. Monthly 100 (1993) 468-470] and Sintamarian [A generalization of Euler's constant, Numer. Algorithms 46 (2007), 141-151].

• 出版日期2013-1