Linear Combinations of Bernstein Polynomials

Author:

Butzer P. L.

Abstract

If f(x) is denned on [0, 1], then its corresponding Bernstein polynomialapproaches f(x) uniformly on [0, 1], if f(x) is continuous on [0, 1]. If f(x) is bounded on [0, 1], then at every point x where the second derivative exists (Voronowskaja [7], see also [5])

Publisher

Canadian Mathematical Society

Subject

General Mathematics

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