Derivatives of the algebraic polynomials of best approximation

DOI10.1016/0021-9045(80)90108-2zbMath0456.41008OpenAlexW1980330828MaRDI QIDQ1150829

Maurice Hasson

Publication date: 1980

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

Full work available at URL: https://doi.org/10.1016/0021-9045(80)90108-2

zbMATH Keywords

degree of approximationN-times continuously differentiable functions

Mathematics Subject Classification ID

Approximation by rational functions (41A20) Approximation by polynomials (41A10) Rate of convergence, degree of approximation (41A25)

Related Items (8)

A constructive method related to generalizations of the uniform boundedness principle and its applications ⋮ Simultaneous approximation by algebraic polynomials ⋮ Comparison between the degrees of approximation by lacunary and ordinary algebraic polynomials ⋮ The behavior of the derivatives of the algebraic polynomials of best approximation ⋮ Simultaneous Approximation by Polynomial Projection Operators ⋮ Detection of Singularities Using Segment Approximation ⋮ The sharpness of Timan's theorem on differentiable functions ⋮ Polynomials of best approximation in C[-1,1]

Cites Work

• Sur l'approximation d'une fonction périodique et de ses dérivées successives par un polynôme trigonométrique et par ses dérivées successives
• Best approximation to functions with restricted derivatives
• Smooth functions
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