Rate of pointwise convergence of Bernstein polynomials for some absolutely continuous functions

DOI10.1006/jmaa.1997.5160zbMath0878.41013OpenAlexW1998118480MaRDI QIDQ1364819

Paulina Pych-Taberska

Publication date: 20 November 1997

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jmaa.1997.5160

zbMATH Keywords

Bernstein polynomialsabsolutely continuous functionsrate of pointwise convergence

Mathematics Subject Classification ID

Rate of convergence, degree of approximation (41A25)

Related Items

The rate of pointwise approximation of positive linear operators based on \(q\)-integer

Cites Work

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• On the rate of convergence of Bernstein polynomials of functions of bounded variation
• On the rate of pointwise convergence of Bernstein and Kantorovič polynomials
• Rate of convergence of Bernstein polynomials for functions with derivatives of bounded variation
• A note on approximation by Bernstein polynomials
• On the rate of convergence of some operators on functions of bounded variation
• Sur les oscillations d'ordre supérieur d'une fonction numérique
• The Bernstein Polynomials for Discontinuous Functions