Comparing the degrees of unconstrained and shape preserving approximation by polynomials

DOI10.1016/J.JAT.2016.07.004zbMath1353.41003OpenAlexW2485634327MaRDI QIDQ320327

I. A. Shevchuk, Dany Leviatan

Publication date: 6 October 2016

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

Full work available at URL: https://doi.org/10.1016/j.jat.2016.07.004

zbMATH Keywords

degree of approximationcomonotone and coconvex approximation by polynomialsJackson-type estimates

Mathematics Subject Classification ID

Approximation by polynomials (41A10) Rate of convergence, degree of approximation (41A25)

Related Items (2)

Uniform and pointwise shape preserving approximation (SPA) by algebraic polynomials: an update ⋮ Parameter Identification for a Class of Bivariate Fractal Interpolation Functions and Constrained Approximation

Cites Work

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• On the degree of piecewise shape-preserving approximation by polynomials
• 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
• Coconvex approximation.
• Coconvex polynomial approximation
• On limiting values of an integral of Cauchy type for functions of Zygmund classes
• Corrigendum to ``On the degree of piecewise shape-preserving approximation by polynomials
• Positive results and counterexamples in comonotone approximation. II.
• Are the degrees of the best (co)convex and unconstrained polynomial approximations the same? II

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