On k-Monotone Approximation by Free Knot Splines

DOI10.1137/S0036141002358514zbMath1031.41007OpenAlexW1982993041MaRDI QIDQ4429846

A. Yu. Shadrin, Kirill A. Kopotun

Publication date: 30 September 2003

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

Full work available at URL: https://doi.org/10.1137/s0036141002358514

zbMATH Keywords

approximation orderconstrained approximationfree knot splines\(k\)-monotone approximationMarkov moment problemWhitney-type estimates

Mathematics Subject Classification ID

Numerical computation using splines (65D07) Numerical interpolation (65D05) Interpolation in approximation theory (41A05) Approximation with constraints (41A29) Rate of convergence, degree of approximation (41A25) Spline approximation (41A15)

Related Items (7)

Freeknot splines approximation of Sobolev-type classes of \(s\)-monotone functions ⋮ Three-monotone spline approximation ⋮ The rate of convergence for linear shape-preserving algorithms ⋮ A second Marshall inequality in convex estimation ⋮ Linear relative \(n\)-widths for linear operators preserving an intersection of cones ⋮ Monotonicity-preserving interproximation of \(B\)-\(H\)-curves ⋮ Three-monotone interpolation

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