Sharp approximation formulas and inequalities for the Wallis ratio by continued fraction

被引：0

作者：

You, Xu ^{[1
]}

Chen, Di-Rong ^{[2
,3
]}

机构：

[1] Beijing Inst Petrochem Technol, Dept Math & Phys, Beijing 102617, Peoples R China

[2] Wuhan Text Univ, Dept Math, Wuhan 430200, Hubei, Peoples R China

[3] Beihang Univ, Sch Math & Syst Sci, Beijing 100191, Peoples R China

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2017年 / 455卷 / 02期

基金：

中国国家自然科学基金;

关键词：

Wallis ratio; Gamma function; Inequalities; Multiple-correction method; MULTIPLE-CORRECTION;

D O I：

10.1016/j.jmaa.2017.06.063

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we present a new continued fraction approximation of the Wallis ratio. This approximation is fast in comparison with the recently discovered asymptotic series. We also establish the inequalities related to this approximation. Finally, some numerical computations are provided for demonstrating the superiority of our approximation. (C) 2017 Elsevier Inc. All rights reserved.

引用

页码：1743 / 1748

页数：6

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