Algorithm for Constructing Simple Partial Fractions of the Best Approximation of Constants
- Autores: Danchenko V.I.1, Kondakova E.N.1
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Afiliações:
- A. G. and N. G. Stoletov Vladimir State University
- Edição: Volume 239, Nº 3 (2019)
- Páginas: 299-308
- Seção: Article
- URL: https://bakhtiniada.ru/1072-3374/article/view/242661
- DOI: https://doi.org/10.1007/s10958-019-04306-w
- ID: 242661
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Resumo
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.
Sobre autores
V. Danchenko
A. G. and N. G. Stoletov Vladimir State University
Autor responsável pela correspondência
Email: vdanch2012@yandex.ru
Rússia, 87, Gor’kogo St., Vladimir, 600000
E. Kondakova
A. G. and N. G. Stoletov Vladimir State University
Email: vdanch2012@yandex.ru
Rússia, 87, Gor’kogo St., Vladimir, 600000
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