Unconditionally Convergent Rational Interpolation Splines

Unconditionally Convergent Rational Interpolation Splines

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 prop...

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Veröffentlicht in:Mathematical Notes 2018-03, Vol.103 (3-4), p.635-644
Hauptverfasser: Ramazanov, A.-R. K., Magomedova, V. G.
Format: Artikel
Sprache:eng
Schlagworte:
Continuity (mathematics)
Convergence
Interpolation
Mathematics
Mathematics and Statistics
Splines
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Zusammenfassung: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.
ISSN:0001-4346
1067-9073
1573-8876
DOI:10.1134/S0001434618030318