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|Asymptotic and Non-asymptotic Results in the Approximation by Bernstein Polynomials
|Adell, José A.
|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.
Ditzian–Totik modulus of smoothness
Binomial random variable
|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.
|Birkhäuser - Springer
|Adell, J.A., Cárdenas-Morales, D. Asymptotic and Non-asymptotic Results in the Approximation by Bernstein Polynomials. Results Math 77, 166 (2022).
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