On 3-monotone approximation by piecewise polynomials

DOI10.1016/j.jat.2004.01.012zbMath1080.41009OpenAlexW2092046385MaRDI QIDQ1772698

Dany Leviatan, Andriy Prymak

Publication date: 21 April 2005

Published in: Journal of Approximation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jat.2004.01.012

zbMATH Keywords

degree of approximation3-monotone approximation by piecewise polynomials

Mathematics Subject Classification ID

Approximation with constraints (41A29) Rate of convergence, degree of approximation (41A25) Spline approximation (41A15)

Related Items (2)

Three-monotone spline approximation ⋮ Pointwise estimates for 3-monotone approximation

Cites Work

• Pointwise and uniform estimates for convex approximation of functions by algebraic polynomials
• Shape preserving widths of Sobolev-type classes of \(s\)-monotone functions on a finite interval.
• Coconvex polynomial approximation
• Convex approximation by quadratic splines
• Convex Approximation by Splines
• APPROXIMATION OF MONOTONE FUNCTIONS BY MONOTONE POLYNOMIALS
• Monotone Approximation by Splines
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