关于π^3的数列的余数

IF 0.4 4区数学 Q4 MATHEMATICS

Contributions To Discrete Mathematics Pub Date : 2022-10-22 DOI:10.47443/cm.2022.046

Xiao Zhang, Chao-Ping Chen

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引用次数: 0

摘要

我们得到了余数rn的渐近展开式，并给出了确定所得到展开式中所涉及系数的递推关系。此外，我们建立了余项rn的上界和下界。作为得到的界的应用，我们给出了π的近似值。

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On the remainder of a series representation for π^3

The main motivation for obtaining the results reported in the present paper comes from the following existing identity: We obtain the asymptotic expansion of the remainder R n as given below: We also give a recursive relation for determining the coeﬃcients involved in the obtained expansion. Moreover, we establish an upper bound and a lower bound on the remainder R n . As an application of the obtained bounds, we give an approximate value of π .

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来源期刊

Contributions To Discrete Mathematics MATHEMATICS-

CiteScore

1.30

自引率

0.00%

发文量

期刊介绍： Contributions to Discrete Mathematics (ISSN 1715-0868) is a refereed e-journal dedicated to publishing significant results in a number of areas of pure and applied mathematics. Based at the University of Calgary, Canada, CDM is free for both readers and authors, edited and published online and will be mirrored at the European Mathematical Information Service and the National Library of Canada.