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New Quicker Sequences and Inequalities with Continued Fraction Towards Euler's Constant

Release Time:2019-03-12  Hits:

Indexed by: Journal Article

Date of Publication: 2018-03-01

Journal: RESULTS IN MATHEMATICS

Included Journals: SCIE

Volume: 73

Issue: 1

ISSN: 1422-6383

Key Words: Euler's constant; continued fraction; rate of convergence; asymptotic expansion; inequalities

Abstract: In this paper, we give some new quicker convergent sequences toward Euler's constant using the continued fraction. For demonstrating the superiority of the new sequences over DeTemple's sequence, Mortici's sequences and Lu's sequences, some numerical simulations are also given in this article.

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