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On Generalized Bernstein Polynomials

✍ Scribed by Bustoz, J.; Groetsch, C. W.

Book ID: 118198509
Publisher: Society for Industrial and Applied Mathematics
Year: 1974
Tongue: English
Weight: 473 KB
Volume: 5
Category: Article
ISSN: 0036-1410
DOI: 10.1137/0505027

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We begin by classifying all solutions of two natural recurrences that Bernstein polynomials satisfy. The first scheme gives a natural characterization of Stancu polynomials. In Section 2, we identify the Bernstein polynomials as coefficients in the generating function for the elementary symmetric fu