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Some new improved classes of convergence towards Euler's constant

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Indexed by:期刊论文

Date of Publication:2014-09-15

Journal:APPLIED MATHEMATICS AND COMPUTATION

Included Journals:SCIE、EI、Scopus

Volume:243

Page Number:24-32

ISSN No.:0096-3003

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

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

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