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If / 2(x) := x 2 for x e [0, 1], calculate the first few Bernstein polynomials for / 2

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

Solution for problem 17 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 17

If / 2(x) := x 2 for x e [0, 1], calculate the first few Bernstein polynomials for / 2 Show that Bn(x) = (1- 1/n)x2 + (1/n)x.

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Chapter 5.4, Problem 17 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 / 2(x) := x 2 for x e [0, 1], calculate the first few Bernstein polynomials for / 2