Release Time:2019-03-09  Hits:

Indexed by: Journal Article

Date of Publication: 2015-02-01

Journal: JOURNAL OF NUMBER THEORY

Included Journals: ESI高被引论文、SCIE

Volume: 147

Page Number: 69-80

ISSN: 0022-314X

Key Words: Euler's constant; Continued fraction; Rate of convergence; Asymptotic expansion

Abstract: In this paper, using continued fraction, some quicker classes of sequences convergent to Euler's constant are provided. Finally, for demonstrating the superiority of our new convergent sequences over De Temple's sequence, Vernescu's sequence and Mortici's sequences, some numerical computations are also given. (C) 2014 Elsevier Inc. All rights reserved.