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Indexed by:Journal Papers
Date of Publication:2015-05-15
Journal:APPLIED MATHEMATICS AND COMPUTATION
Included Journals:SCIE、EI、Scopus
Volume:259
Page Number:12-20
ISSN No.: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.