一类非线性变换及其在无穷级数求值中的应用

Journal of Research of the National Bureau of Standards, Section B: Mathematical Sciences Pub Date : 1969-07-01 DOI:10.6028/JRES.073B.026

H. L. Gray, W. D. Clark

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引用次数: 18

摘要

本文利用一类非线性变换研究无穷序列和无穷级数的提高收敛速度问题。所采用的变换是所谓的c变换的离散模拟，并对围绕它们的理论进行了一些详细的研究。通过实例对理论结果进行了验证。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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On a class of nonlinear transformations and their applications to the evaluation of infinite series

In this paper the problem of increasing the rate of convergence of infinite sequences and series is considered by means of a class of nonlinear transformations. The transformations employed are the discrete analogue of the so called C-transformations and the theory surrounding them is investigated in some detail. The theoretical results are demonstrated by numerous examples.

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Journal of Research of the National Bureau of Standards, Section B: Mathematical Sciences

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