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Matematicheskie Zametki, 2018, Volume 103, Issue 4, Pages 592–603
DOI: https://doi.org/10.4213/mzm11201 (Mi mzm11201) 		 
This article is cited in 10 scientific papers (total in 10 papers)

Unconditionally Convergent Rational Interpolation Splines

A.-R. K. Ramazanovab, V. G. Magomedovaa

a Daghestan State University, Makhachkala
b Daghestan Scientific Centre of Russian Academy of Sciences, Makhachkala
Full-text PDF (448 kB) Citations (10)
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DOI: https://doi.org/10.4213/mzm11201
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.
Keywords: rational spline, interpolation spline, convergence of splines.
Received: 08.04.2016
Revised: 05.04.2017
English version:
Mathematical Notes, 2018, Volume 103, Issue 4, Pages 635–644
DOI: https://doi.org/10.1134/S0001434618030318
Bibliographic databases:
Document Type: Article
UDC: 517.5
Language: Russian
Citation: A.-R. K. Ramazanov, V. G. Magomedova, “Unconditionally Convergent Rational Interpolation Splines”, Mat. Zametki, 103:4 (2018), 592–603; Math. Notes, 103:4 (2018), 635–644
Citation in format AMSBIB
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    • This publication is cited in the following 10 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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