Release Time:2019-03-09  Hits:

Indexed by: Journal Papers

Date of Publication: 2015-05-15

Journal: APPLIED MATHEMATICS AND COMPUTATION

Included Journals: Scopus、EI、SCIE

Volume: 259

Page Number: 12-20

ISSN: 0096-3003

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

Abstract: In this paper, using the continued fraction, some new convergent sequences towards Euler's constant are given. In order to demonstrate the superiority of the new sequences over DeTemple's sequence, Mortici's sequences and Lu's sequences, some numerical simulations are given at the end of this article. (C) 2015 Elsevier Inc. All rights reserved.