Convex Approximation by Splines

descriptionPublicationkeyboard_double_arrow_right Article 01 Jul 1981 English Publisher:Society for Industrial & Applied Mathematics (SIAM)Journal:SIAM Journal on Mathematical Analysis, volume 12, pages 549-559 (issn: 0036-1410, eissn: 1095-7154,

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Authors: Beatson, R. K.;

doi: 10.1137/0512048

Convex Approximation by Splines

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Abstract

Jackson type estimates are obtained for the approximation of convex functions by convex splines with equally spaced knots. The results are of the same order as the Jackson type estimates for unconstrained approximation by splines with equally spaced knots.

Keywords

Spline approximation, convex splines with equally spaced knots, Inequalities in approximation (Bernstein, Jackson, Nikol'skiĭ-type inequalities), Jackson type estimates for unconstrained approximation by splines

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