Multiple-correction and continued fraction approximation (II)

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摘要

The main aim of this paper is to further develop the multiple-correction method formulated in our previous works (Cao et al., 2015; Cao, 2015). As applications, we establish a kind of hybrid-type finite continued fraction approximations related to BBP-type series of the constant π and other classical constants, such as Catalan constant or π2.

论文关键词:Catalan constant,BBP-type series,Rate of convergence,Multiple-correction,Continued fraction

论文评审过程:Received 15 October 2014, Revised 3 March 2015, Accepted 31 March 2015, Available online 21 April 2015.

论文官网地址:https://doi.org/10.1016/j.amc.2015.03.106