A New Sequence Which Converges Faster towards the Euler–Mascheroni Constant-Reference-Cited by-同舟云学术

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A New Sequence Which Converges Faster towards the Euler–Mascheroni Constant

Published:2023-08-17 Issue: Volume:2023 Page:1-5
ISSN:2314-4785
Container-title:Journal of Mathematics
language:en
Short-container-title:Journal of Mathematics

Author:

Cringanu Jenica¹^ORCID

Affiliation:

1. Dunarea de Jos University of Galati, Galati, Romania

Abstract

The aim of this paper is to propose a new sequence that approximates the Euler–Mascheroni constant which converges faster towards its limit and to establish new inequalities for this constant.

Funder

Universitatea 'Dunărea de Jos' Galați

Publisher

Hindawi Limited

Subject

General Mathematics

Link

http://downloads.hindawi.com/journals/jmath/2023/7408231.pdf

Reference9 articles.

1. Approximate evaluation of Euler’s constant;S. R. Tims;The Mathematical Gazette,1971

2. Convergence order of the definition sequence of Euler’s constant;A. Vernescu;The Mathematical Gazette,1983

3. Probem E3432;L. Toth;The American Mathematical Monthly,1991

4. A Quicker Convergence to Euler's Constant

5. A faster convergence to the constant of Euler;T. Negoi;The Mathematical Gazette,1997

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