Email this article Algorithm for Constructing Simple Partial Fractions of the Best Approximation of Constants
- Authors: Danchenko V.I.1, Kondakova E.N.1
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Affiliations:
- A. G. and N. G. Stoletov Vladimir State University
- Issue: Vol 239, No 3 (2019)
- Pages: 299-308
- Section: Article
- URL: https://journals.rcsi.science/1072-3374/article/view/242661
- DOI: https://doi.org/10.1007/s10958-019-04306-w
- ID: 242661
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Abstract
It is known that for the best uniform approximation of real constants c by simple partial fractions ρn of order n on a real segment it is necessary and sufficient to have an alternance of n + 1 points on this segment for the difference ρn − c, n ≥ n0(c). We propose an algorithm for constructing the alternance and simple partial fraction of the best approximation of constants c.
About the authors
V. I. Danchenko
A. G. and N. G. Stoletov Vladimir State University
Author for correspondence.
Email: vdanch2012@yandex.ru
Russian Federation, 87, Gor’kogo St., Vladimir, 600000
E. N. Kondakova
A. G. and N. G. Stoletov Vladimir State University
Email: vdanch2012@yandex.ru
Russian Federation, 87, Gor’kogo St., Vladimir, 600000
