Multiple-correction and faster approximation

被引：26

作者：

Cao, Xiaodong ^{[1
]}

Xu, Hongmin ^{[1
]}

You, Xu ^{[1
]}

机构：

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

来源：

JOURNAL OF NUMBER THEORY | 2015年 / 149卷

基金：

中国国家自然科学基金;

关键词：

Euler-Mascheroni constant; Landau constants; Rate of convergence; Multiple-correction; Continued fraction; LANDAU; CONSTANTS; INEQUALITIES; SEQUENCES; CONVERGENCE;

D O I：

10.1016/j.jnt.2014.10.016

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we formulate a new multiple-correction method. The goal is to accelerate the rate of convergence. In particular, we construct some sequences to approximate the Euler Mascheioni and Landau constants, which are faster than the classical approximations in literature. (C) 2014 Elsevier Inc. All rights reserved.

引用

页码：327 / 350

页数：24

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