Convex Approximation by Quadratic Splines

Convex Approximation by Quadratic Splines

Given a convex function ƒ without any smoothness requirements on its derivatives, we estimate its error of approximation by C1 convex quadratic splines in terms of ω3(ƒ, 1/n).

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Bibliographische Detailangaben
Veröffentlicht in:Journal of approximation theory 1993-07, Vol.74 (1), p.69-82
1. Verfasser: Hu, Y.K.
Format: Artikel
Sprache:eng
Schlagworte:
Approximations and expansions
Exact sciences and technology
Mathematical analysis
Mathematics
Sciences and techniques of general use
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Beschreibung
Zusammenfassung:Given a convex function ƒ without any smoothness requirements on its derivatives, we estimate its error of approximation by C1 convex quadratic splines in terms of ω3(ƒ, 1/n).
ISSN:0021-9045
1096-0430
DOI:10.1006/jath.1993.1054