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Multiple-Correction and Continued Fraction Approximation

2014/10/11 by Xiaodong Cao, Cao, Xiaodong
Computer Science · Mathematics · #11Y60 41A25 34E05 26D15 #Applied mathematics #Arithmetic #Computer science #Constant (computer programming) #Continued fraction #Euler's formula #FOS: Mathematics #Fraction (chemistry) #Iterative Methods for Nonlinear Equations #Lebesgue integration #Mathematical analysis #Mathematical functions and polynomials #Mathematics #Matrix Theory and Algorithms #Number Theory (math.NT) #Physics #Pure mathematics #Quantum mechanics #Type (biology) #Work (physics) #math.NT #msc:11Y60 #msc:26D15 #msc:34E05 #msc:41A25

paper · pdf · doi:10.48550/arxiv.1410.2953

arXiv admin note: text overlap with arXiv:1407.3865 by other authors

arxiv created 2014/10/11 · openalex publication_date 2014/10/11 · arxiv updated 2014/10/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The main aim of this paper is to further develop a multiple-correction method formulated in a previous work~\citeCXY. As its 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~\citeLu and Xu and You~\citeXY for the Euler-Mascheroni constant.

Citations

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