Monotone Approximation by Splines

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.

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Bibliographic Details
Published inSIAM journal on mathematical analysis Vol. 8; no. 5; pp. 891 - 905
Main Author De Vore, Ronald A.
Format Journal Article
LanguageEnglish
Published Philadelphia Society for Industrial and Applied Mathematics 01.10.1977
Subjects
Approximation
Estimates
Polynomials
Theorems
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Summary: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.
ISSN:0036-1410
1095-7154
DOI:10.1137/0508068