Basic Properties of Bernstein Operators

Jorge Bustamante
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Jorge Bustamante: Benemerita Universidad Autonoma de Puebla, Facultad de Ciencias Físico-Matemáticas

Chapter Chapter 2 in Bernstein Operators and Their Properties, 2017, pp 75-160 from Springer

Abstract: Abstract At the beginning of the twentieth century several proofs of the convergence of Bernstein polynomials were published. In particular, we note the ones due to Chlodovski [75], Sierpinski [345], Wundheiler [411], Kac ([210] and [211]), and Kendall [217]. The first estimates in terms of a modulus of continuity were established by Popoviciu [312] in 1935 (see also [288, p. 197]).

Date: 2017
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DOI: 10.1007/978-3-319-55402-0_2

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