Please use this identifier to cite or link to this item:
Title: Asymptotic and Non-asymptotic Results in the Approximation by Bernstein Polynomials
Authors: Adell, José A.
Cárdenas-Morales, Daniel
Abstract: This paper deals with the approximation of functions by the classical Bernstein polynomials in terms of the Ditzian–Totik modulus of smoothness. Asymptotic and non-asymptotic results are respectively stated for continuous and twice continuously differentiable functions. By using a probabilistic approach, known results are either completed or strengthened.
Keywords: Bernstein polynomials
Ditzian–Totik modulus of smoothness
Steklov means
Binomial random variable
Issue Date: 29-Jun-2022
metadata.dc.description.sponsorship: Open Access funding provided thanks to the CRUE-CSIC agreement with Springer Nature. This work is partially supported by the Spanish government Research Project PGC2018-097621-B-I00. The second author is also supported by Junta de Andalucía Research Group FQM-0178.
Publisher: Birkhäuser - Springer
Citation: Adell, J.A., Cárdenas-Morales, D. Asymptotic and Non-asymptotic Results in the Approximation by Bernstein Polynomials. Results Math 77, 166 (2022).
Appears in Collections:DM-Artículos

Files in This Item:
File Description SizeFormat 
RESULTS 2022.pdf333,61 kBAdobe PDFView/Open

This item is protected by original copyright