收敛于欧拉常数的一系列序列。

IF 1.6 3区数学 Q1 Mathematics

Journal of Inequalities and Applications Pub Date : 2018-01-01 Epub Date: 2018-06-19 DOI:10.1186/s13660-018-1727-6

Li-Jiang Jia, Bin Ge, Li-Li Liu, Yi Ran

引用次数: 0

摘要

本文利用连分式给出了一种新的更快收敛于欧拉常数的数列。我们证明了我们的新收敛序列优于DeTemple序列、Mortici序列、Vernescu序列和Lu序列。

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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A series of sequences convergent to Euler's constant.

In this paper, using continued fraction, we provide a new quicker sequence convergent to Euler's constant. We demonstrate the superiority of our new convergent sequences over DeTemple's sequence, Mortici's sequences, Vernescu's sequence, and Lu's sequence.

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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.