The degree of local approximation of functions in \(C_1[0,1]\) by Bernstein polynomials

DOI10.1016/0021-9045(77)90030-2zbMath0339.41007OpenAlexW2077405576MaRDI QIDQ1230933

K. Appert

Publication date: 1977

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

Full work available at URL: https://doi.org/10.1016/0021-9045(77)90030-2

Mathematics Subject Classification ID

Approximation by polynomials (41A10) Rate of convergence, degree of approximation (41A25) Approximation by operators (in particular, by integral operators) (41A35)

Related Items (7)

On the approximation of functions in \(C^1 ( I )\) by a class of positive linear operators ⋮ Optimal estimates with moduli of continuity ⋮ On the degree of approximation of functions in \(C^1_{2\pi}\) with operators of the Jackson type ⋮ On the constants in Videnskiĭ type inequalities for Bernstein operators ⋮ Estimates for the moments of Bernstein polynomials ⋮ On the degree approximation of functions in \(C_1[0,1\) by the operators of Meyer-König and Zeller] ⋮ On approximation of continuously differentiable functions by positive linear operators

Cites Work

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• Über den Grad der Approximation mit Bernstein-Polynomen
• Der Wert einiger Konstanten in der Theorie der Approximation mit Bernstein-Polynomen
• Über die asymptotisch beste Approximation stetiger Funktionen mit Hilfe von Bernstein-Polynomen
• On the degree of approximation by Bernstein polynomials

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