Some positive results and counterexamples in comonotone approximation

DOI10.1006/JATH.1997.3038zbMath0870.41016OpenAlexW2064459995WikidataQ124826118 ScholiaQ124826118MaRDI QIDQ1356800

I. A. Shevchuk, Dany Leviatan

Publication date: 10 June 1997

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

Full work available at URL: https://doi.org/10.1006/jath.1997.3038

zbMATH Keywords

Ditzian-Totik modulescomonotone approximationJackson-type theorem

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. ⋮ Nearly comonotone approximation ⋮ Shape-preserving approximation by polynomials ⋮ Comonotone Jackson's inequality

Cites Work

• Unnamed Item
• Monotone and comonotone polynomial approximation revisited
• Efficient co-monotone approximation
• Exact estimates for partially monotone approximation
• On the theory of approximation of functions on closed sets of the complex plane (with reference to a problem of S. M. Nikol'skii)
• Uniform estimates of the coconvex approximation of functions by polynomials
• Uniform estimates for monotonic polynomial approximation
• Degree of approximation by monotone polynomials. I
• On Comonotone Approximation
• APPROXIMATION OF MONOTONE FUNCTIONS BY MONOTONE POLYNOMIALS
• Monotone Approximation by Polynomials

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