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

Introduction to Real Analysis | 3rd Edition | ISBN: 9780471321484 | Authors: Robert G. Bartle, Donald R. Sherbert ISBN: 9780471321484 424

Solution for problem 15 Chapter 5.4

Introduction to Real Analysis | 3rd Edition

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Introduction to Real Analysis | 3rd Edition | ISBN: 9780471321484 | Authors: Robert G. Bartle, Donald R. Sherbert

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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Chapter 5.4, Problem 15 is Solved
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Textbook: Introduction to Real Analysis
Edition: 3
Author: Robert G. Bartle, Donald R. Sherbert
ISBN: 9780471321484

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