Convex Approximation by Splines

DOI10.1137/0512048zbMath0458.41009OpenAlexW2045440560MaRDI QIDQ3907976

Rick K. Beatson

Publication date: 1981

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0512048

zbMATH Keywords

convex splines with equally spaced knotsJackson type estimates for unconstrained approximation by splines

Mathematics Subject Classification ID

Inequalities in approximation (Bernstein, Jackson, Nikol'ski?-type inequalities) (41A17) Spline approximation (41A15)

Related Items (10)

Tractable approximate robust geometric programming ⋮ Shape preserving approximations by polynomials and splines ⋮ Comonotone approximation by splines of piecewise monotone functions ⋮ A survey on univariate data interpolation and approximation by splines of given shape ⋮ A two stage \(k\)-monotone B-spline regression estimator: uniform Lipschitz property and optimal convergence rate ⋮ On 3-monotone approximation by piecewise polynomials ⋮ Algorithms for computing shape-preserving spline approximations to data ⋮ Shape-preserving piecewise rational interpolation with higher order continuity ⋮ Univariate splines: Equivalence of moduli of smoothness and applications ⋮ Convexity-preserving approximation by univariate cubic splines

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