Bernstein polynomials are a remarkable family of polynomials associated to any given function on the unit interval. Their first notable appearance was in Bernstein's proof of the Weierstrass approximation theorem. This book gives an exhaustive exposition of the main facts about the Bernstein polynomials and discusses some of their applications in analysis. The first three chapters of the book give an introduction to a theory of singular integrals by means of the particular instance of Bernstein polynomials. The author ...

Bernstein Polynomials 2013, American Mathematical Society, Providence

ISBN-13: 9780821875582

2nd Revised edition

Hardcover

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Bernstein Polynomials 1985, Chelsea Publishing Company

ISBN-13: 9780828403238

Unabridged

Hardcover

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