Multiple-correction and continued fraction approximation

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:424

Article

Cao, Xiaodong¹ 

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

关键词: Euler-Mascheroni constant;    Landau constants;    Lebesgue constants;    Rate of convergence;    Multiple-correction;    Continued fraction;   

DOI  :  10.1016/j.jmaa.2014.12.014

来源: Elsevier

【 摘 要 】

The main aim of this paper is to further develop a multiple-correction method formulated in a previous work [6]. As applications, we find a kind of hybrid-type finite continued fraction approximations in two cases of Landau constants and Lebesgue constants. In addition, we refine the previous results of Lu [29] and Xu and You [48] for the Euler Mascheroni constant. (C) 2014 Elsevier Inc. All rights reserved.

【 授权许可】

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