Dergiler / Constructive mathematical analysis (Online) / 2020 / Cilt: 3 - Sayı: 1

A New Asymptotic Series and Estimates Related to Euler Mascheroni Constant

A New Asymptotic Series and Estimates Related to Euler Mascheroni Constant

VALENTIN GABRIEL CRISTEA

Sayfa
1–8
DOI
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Abstract

In this article, we give a new asymptotic series for a sequence (qn) that converges to Euler-Mascheroni’sconstant with the convergence speed as n−4. We present and prove a theorem about how to get the sequence (qn).Using this asymptotic series, we establish the lower and upper bounds for the sequence (qn).