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# If / 0(x) := 1 for x e [0, 1], calculate the first few Bernstein polynomials for f 0

ISBN: 9780471321484 424

## Solution for problem 15 Chapter 5.4

Introduction to Real Analysis | 3rd Edition

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Problem 15

If / 0(x) := 1 for x e [0, 1], calculate the first few Bernstein polynomials for f 0 Show that they coincide with f 0 [Hint: The Binomial Theorem asserts that (a+ b)n = t (n)a/cbn-k.] lc=O k

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