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- Title
Interpolation of rational functions by simple partial fractions.
- Authors
Komarov, M.
- Abstract
We study a generalized interpolation of a rational function at n nodes by a simple partial fraction of degree n and reduce the consideration to the solvability question for a special difference equation. We construct explicit interpolation formulas in the case where the equation order is equal to 1. We show that for functions A( x − a), $ m \in \mathbb{N} $, it is possible to reduce the consideration to a system of m + 1 independent first order equations and construct explicit interpolation formulas. Bibliography: 6 titles.
- Subjects
INTERPOLATION; PARTIAL fractions; DIFFERENCE equations; MATHEMATICAL formulas; BANACH spaces; GENERALIZATION; MATHEMATICAL analysis
- Publication
Journal of Mathematical Sciences, 2012, Vol 181, Issue 5, p600
- ISSN
1072-3374
- Publication type
Article
- DOI
10.1007/s10958-012-0707-5