Monotone Approximation by Splines

descriptionPublicationkeyboard_double_arrow_right Article 01 Oct 1977 English Publisher:Society for Industrial & Applied Mathematics (SIAM)Journal:SIAM Journal on Mathematical Analysis, volume 8, pages 891-905 (issn: 0036-1410, eissn: 1095-7154,

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Authors: de Vore, Ronald A.;

doi: 10.1137/0508068

Monotone Approximation by Splines

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Abstract

We prove Jackson type estimates for the approximation of monotone nondecreasing functions by monotone nondecreasing splines with equally spaced knots. Our results are of the same order as the Jackson type estimates for unconstrained approximation by splines with equally spaced knots.

Keywords

Spline approximation

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