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Some new convergent sequences and inequalities of Euler's constant

Release Time:2019-03-09  Hits:

Indexed by: Journal Article

Date of Publication: 2014-11-01

Journal: JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

Included Journals: Scopus、SCIE

Volume: 419

Issue: 1

Page Number: 541-552

ISSN: 0022-247X

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

Abstract: In this paper, some new convergent sequences and inequalities of Euler's constant are provided. To demonstrate 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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