A new sequence related to the Euler-Mascheroni constant.

IF 1.6 3区数学 Q1 Mathematics

Journal of Inequalities and Applications Pub Date : 2018-01-01 Epub Date: 2018-06-28 DOI:10.1186/s13660-018-1746-3

Shanhe Wu, Gabriel Bercu

引用次数: 2

Abstract

In this paper, we provide a new quicker sequence convergent to the Euler-Mascheroni constant using an approximation of Padé type. Our sequence has a relatively simple form and higher speed of convergence. Moreover, we establish lower and upper bound estimates for the difference between the sequence and the Euler-Mascheroni constant.

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一个与Euler-Mascheroni常数有关的新序列。

本文给出了一种新的更快收敛于Euler-Mascheroni常数的序列。我们的序列具有相对简单的形式和较快的收敛速度。此外，我们建立了序列与Euler-Mascheroni常数之差的下界和上界估计。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Journal of Inequalities and Applications MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

3.30

自引率

6.20%

发文量

136

审稿时长

3 months

期刊介绍： The aim of this journal is to provide a multi-disciplinary forum of discussion in mathematics and its applications in which the essentiality of inequalities is highlighted. This Journal accepts high quality articles containing original research results and survey articles of exceptional merit. Subject matters should be strongly related to inequalities, such as, but not restricted to, the following: inequalities in analysis, inequalities in approximation theory, inequalities in combinatorics, inequalities in economics, inequalities in geometry, inequalities in mechanics, inequalities in optimization, inequalities in stochastic analysis and applications.