Piecewise coapproximation and the Whitney inequality.

DOI10.1006/jath.2000.3458zbMath1101.41307OpenAlexW2047021765MaRDI QIDQ1583967

A. V. Shatalina, M. G. Pleshakov

Publication date: 2000

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

Full work available at URL: https://doi.org/10.1006/jath.2000.3458

zbMATH Keywords

piecewise coconvex approximationWhitney and Jackson inequalities

Mathematics Subject Classification ID

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

Related Items (4)

Coconvex polynomial approximation ⋮ Positive results and counterexamples in comonotone approximation. II. ⋮ Monotone trigonometric approximation ⋮ Coconvex approximation.

Cites Work

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• On functions with bounded \(n\)-th differences
• Efficient co-monotone approximation
• Exact estimates for partially monotone approximation
• The behavior of the derivatives of the algebraic polynomials of best approximation
• Piecewise monotone pointwise approximation
• Degree of approximation by monotone polynomials. II
• On Comonotone Approximation
• The degree of coconvex polynomial approximation
• ON COMONOTONE APPROXIMATION BY POLYNOMIALS IN Lp SPACE

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