Coconvex approximation.

DOI10.1006/JATH.2002.3695zbMath1057.41012OpenAlexW2914568858MaRDI QIDQ1867505

I. A. Shevchuk, Dany Leviatan

Publication date: 2 April 2003

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

Full work available at URL: https://doi.org/10.1006/jath.2002.3695

zbMATH Keywords

Jackson estimatesconvex polynomial approximation

Mathematics Subject Classification ID

Approximation with constraints (41A29)

Related Items (10)

Coconvex polynomial approximation ⋮ Comparing the degrees of unconstrained and shape preserving approximation by polynomials ⋮ Interpolatory pointwise estimates for monotone polynomial approximation ⋮ Coconvex approximation of periodic functions ⋮ Comonotone approximation of periodic functions ⋮ Comonotone approximation with interpolation at the ends on an interval ⋮ Interpolatory pointwise estimates for convex polynomial approximation ⋮ On constants in coconvex approximation of periodic functions ⋮ Are the degrees of best (co)convex and unconstrained polynomial approximation the same? ⋮ Interpolated estimate for copositive approximations by algebraic polynomials

Cites Work

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• Pointwise estimates for monotone polynomial approximation
• Piecewise monotone pointwise approximation
• Piecewise coapproximation and the Whitney inequality.
• Shape-preserving approximation by polynomials
• Some positive results and counterexamples in comonotone approximation. II
• APPROXIMATION OF MONOTONE FUNCTIONS BY MONOTONE POLYNOMIALS
• Monotone Approximation by Polynomials
• The degree of coconvex polynomial approximation
• A counterexample in comonotone approximation in $L^p$ space

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