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Some New Exponential-Function Estimates of the Somos' Quadratic Recurrence Constant

Release Time:2019-03-13  Hits:

Indexed by: Journal Article

Date of Publication: 2019-03-01

Journal: RESULTS IN MATHEMATICS

Included Journals: Scopus、SCIE

Volume: 74

Issue: 1

ISSN: 1422-6383

Key Words: Somos' quadratic recurrence constant; inequalities; exponential function; generalized Euler's constant

Abstract: In this paper, we obtain some new exponential-function approximations and inequalities of the Somos' quadratic recurrence constant, using its relation with the generalized Euler's constant. Numerical computations and comparisons are conducted to illustrate the superiority of our new inequalities over the classical ones.

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