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Some quicker continued fraction approximations and inequalities towards Euler's constant

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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… Click to show full abstract

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.

Keywords: continued fraction; approximations inequalities; towards euler; euler constant; quicker continued; fraction approximations

Journal Title: Journal of Number Theory
Year Published: 2017

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