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Indexed by:期刊论文

Date of Publication:2017-06-01

Journal:JOURNAL OF NUMBER THEORY

Included Journals:SCIE

Volume:175

Page Number:100-116

ISSN No.:0022-314X

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

Abstract:In this paper, we define some new continued fraction sequences towards Euler's constant and two related inequalities. We also present some numerical simulations to demonstrate the superiority of the optimal new sequences over new sequences with other coefficients and Lu's sequences at the end of this article. (C) 2017 Elsevier Inc. All rights reserved.