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- Title
A criterion for the best approximation of constants by simple partial fractions.
- Authors
Komarov, M.
- Abstract
The problem of the best uniform approximation of a real constant c by real-valued simple partial fractions R on a closed interval of the real axis is considered. For sufficiently small (in absolute value) c, | c| ≤ c, it is proved that R is a fraction of best approximation if, for the difference R − c, there exists a Chebyshev alternance of n + 1 points on a closed interval. A criterion for best approximation in terms of alternance is stated.
- Subjects
APPROXIMATION theory; MATHEMATICAL constants; PARTIAL fractions; CHEBYSHEV approximation; INTERPOLATION
- Publication
Mathematical Notes, 2013, Vol 93, Issue 1/2, p250
- ISSN
0001-4346
- Publication type
Article
- DOI
10.1134/S0001434613010276