Email this article Unconditionally Convergent Rational Interpolation Splines
- Authors: Ramazanov A.K.1,2, Magomedova V.G.1
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Affiliations:
- Daghestan State University
- Daghestan Research Center
- Issue: Vol 103, No 3-4 (2018)
- Pages: 635-644
- Section: Article
- URL: https://journal-vniispk.ru/0001-4346/article/view/150783
- DOI: https://doi.org/10.1134/S0001434618030318
- ID: 150783
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Abstract
Given a continuous function on a closed interval, a sequence of rational interpolation splines is constructed which converges uniformly on this closed interval to the given function for any sequence of grids with step width tending to zero. The derivatives possess this unconditional convergence property as well. Estimates of the rate of convergence are given.
About the authors
A.-R. K. Ramazanov
Daghestan State University; Daghestan Research Center
Author for correspondence.
Email: ar-ramazanov@rambler.ru
Russian Federation, Makhachkala; Makhachkala
V. G. Magomedova
Daghestan State University
Email: ar-ramazanov@rambler.ru
Russian Federation, Makhachkala
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