Positive results and counterexamples in comonotone approximation

DOI10.1007/S00365-012-9159-XzbMath1254.41006OpenAlexW2082675064WikidataQ124801270 ScholiaQ124801270MaRDI QIDQ714944

Dany Leviatan, I. A. Shevchuk, Danylo V. Radchenko

Publication date: 12 October 2012

Published in: Constructive Approximation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00365-012-9159-x

zbMATH Keywords

degree of approximationcomonotone polynomial approximationconstants in constrained approximationdegree of comonotone approximation

Mathematics Subject Classification ID

Approximation with constraints (41A29) Approximation by polynomials (41A10) Rate of convergence, degree of approximation (41A25)

Related Items (4)

Positive results and counterexamples in comonotone approximation. II. ⋮ Comparing the degrees of unconstrained and shape preserving approximation by polynomials ⋮ Uniform and pointwise shape preserving approximation (SPA) by algebraic polynomials: an update ⋮ On the degree of piecewise shape-preserving approximation by polynomials

Cites Work

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• Are the degrees of best (co)convex and unconstrained polynomial approximation the same?
• Uniform estimates of monotone and convex approximation of smooth functions
• More on comonotone polynomial approximation
• Some positive results and counterexamples in comonotone approximation. II
• Degree of approximation by monotone polynomials. II
• Convex Polynomial Approximation in the Uniform Norm: Conclusion
• Pointwise Estimates for Convex Polynomial Approximation

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