Document Zbl 1498.11246

A new sequence related to the Euler-Mascheroni constant. (English) Zbl 1498.11246

J. Inequal. Appl. 2018, Paper No. 151, 12 p. (2018).

Summary: In this paper, we provide a new quicker sequence convergent to the Euler-Mascheroni constant using an approximation of Padé type. Our sequence has a relatively simple form and higher speed of convergence. Moreover, we establish lower and upper bound estimates for the difference between the sequence and the Euler-Mascheroni constant.

Cited in 1 Document

MSC:

11Y60	Evaluation of number-theoretic constants
11B37	Recurrences
11B83	Special sequences and polynomials
41A60	Asymptotic approximations, asymptotic expansions (steepest descent, etc.)
41A25	Rate of convergence, degree of approximation

Keywords:

sequences; Euler-Mascheroni constant; rate of convergence; lower and upper bounds

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