Some new continued fraction approximation of Euler's constant

被引：15

作者：

Lu, Dawei ^{[1
]}

Song, Lixin ^{[1
]}

Yu, Yang ^{[1
]}

机构：

[1] Dalian Univ Technol, Sch Math Sci, Dalian 116023, Peoples R China

来源：

JOURNAL OF NUMBER THEORY | 2015年 / 147卷

基金：

中国国家自然科学基金;

关键词：

Euler's constant; Continued fraction; Rate of convergence; Asymptotic expansion; SEQUENCES CONVERGENT; QUICKER CONVERGENCE;

D O I：

10.1016/j.jnt.2014.07.002

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, using continued fraction, some quicker classes of sequences convergent to Euler's constant are provided. Finally, for demonstrating the superiority of our new convergent sequences over De Temple's sequence, Vernescu's sequence and Mortici's sequences, some numerical computations are also given. (C) 2014 Elsevier Inc. All rights reserved.

引用

页码：69 / 80

页数：12

共 16 条

[1]

[Anonymous], 1999, GAZETA MAT A

[2]

DeTemple D.W., 2006, Coll. Math. J., V37, P128

[3] A QUICKER CONVERGENCE TO EULERS CONSTANT [J].

DETEMPLE, DW .

AMERICAN MATHEMATICAL MONTHLY, 1993, 100 (05) :468-470

[4] Some quicker classes of sequences convergent to Euler's constant [J].

Lu, Dawei .

APPLIED MATHEMATICS AND COMPUTATION, 2014, 232 :172-177

[5] A new quicker sequence convergent to Euler's constant [J].

Lu, Dawei .

JOURNAL OF NUMBER THEORY, 2014, 136 :320-329

[6]

Mortici C., 2007, Math. Balkanica (N.S.), V21, P301

[7]

Mortici C., 2005, AN STIINT U OVIDIUS

[8] A continued fraction approximation of the gamma function [J].

Mortici, Cristinel .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2013, 402 (02) :405-410

[9] A new Stirling series as continued fraction [J].

Mortici, Cristinel .

NUMERICAL ALGORITHMS, 2011, 56 (01) :17-26

[10] Very accurate estimates of the polygamma functions [J].

Mortici, Cristinel .

ASYMPTOTIC ANALYSIS, 2010, 68 (03) :125-134

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