On the degree of piecewise shape-preserving approximation by polynomials

DOI10.1016/J.JAT.2014.10.005zbMath1305.41011OpenAlexW2088109138MaRDI QIDQ476128

Oleksandr Vlasiuk

Publication date: 28 November 2014

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

Full work available at URL: https://doi.org/10.1016/j.jat.2014.10.005

zbMATH Keywords

degree of approximationuniform normcoconvex polynomial approximationcomonotone polynomial approximation

Mathematics Subject Classification ID

Approximation by polynomials (41A10)

Related Items (1)

Comparing the degrees of unconstrained and shape preserving approximation by polynomials

Cites Work

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• Positive results and counterexamples in comonotone approximation
• Are the degrees of best (co)convex and unconstrained polynomial approximation the same?
• Some positive results and counterexamples in comonotone approximation. II
• Positive results and counterexamples in comonotone approximation. II.
• Are the degrees of the best (co)convex and unconstrained polynomial approximations the same? II
• Uniform and Pointwise Shape Preserving Approximation by Algebraic Polynomials

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