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Generalized Bernstein polynomials

✍ Scribed by A. Jakimovski; D. Leviatan


Publisher
Springer-Verlag
Year
1966
Tongue
French
Weight
391 KB
Volume
93
Category
Article
ISSN
0025-5874

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πŸ“œ SIMILAR VOLUMES


Generalized Bernstein Polynomials and Sy
✍ Robert P Boyer; Linda C Thiel πŸ“‚ Article πŸ“… 2002 πŸ› Elsevier Science 🌐 English βš– 166 KB

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

A Generalization of the Bernstein Polyno
✍ Jia-Ding Cao πŸ“‚ Article πŸ“… 1997 πŸ› Elsevier Science 🌐 English βš– 136 KB

We give an interesting generalization of the Bernstein polynomials. We find sufficient and necessary conditions for uniform convergence by the new polynomials, and we generalize the Bernstein theorem.