Uniform and pointwise shape preserving approximation (SPA) by algebraic polynomials: an update

DOI10.5802/smai-jcm.54zbMath1439.41002arXiv1901.03911OpenAlexW3003210651MaRDI QIDQ2178662

I. A. Shevchuk, Kirill A. Kopotun, Dany Leviatan

Publication date: 11 May 2020

Published in: SMAI Journal of Computational Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1901.03911

zbMATH Keywords

shape preserving approximationapproximation by algebraic polynomialsconstrained approximation

Mathematics Subject Classification ID

Inequalities in approximation (Bernstein, Jackson, Nikol'ski?-type inequalities) (41A17) Approximation by polynomials (41A10) Rate of convergence, degree of approximation (41A25)

Related Items (1)

Coconvex approximation of periodic functions

Cites Work

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• Comparing the degrees of unconstrained and shape preserving approximation by polynomials
• Positive results and counterexamples in comonotone approximation
• Pointwise estimates for monotone polynomial approximation
• Interpolatory pointwise estimates for polynomial approximation
• Interpolatory pointwise estimates for monotone polynomial approximation
• Interpolatory estimates for convex piecewise polynomial approximation
• Degree of approximation by monotone polynomials. II
• Positive results and counterexamples in comonotone approximation. II.
• Pointwise Estimates for Convex Polynomial Approximation
• Uniform and Pointwise Shape Preserving Approximation by Algebraic Polynomials

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