**AMS Chelsea Publishing**

Volume: 323;
1986;
134 pp;
Hardcover

MSC: Primary 41;
**Print ISBN: 978-0-8218-7558-2
Product Code: CHEL/323.H**

List Price: $38.00

Individual Member Price: $34.20

# Bernstein Polynomials: Second Edition

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*G. G. Lorentz*

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 writes in the preface to this second edition, “After the
trigonometric integrals, Bernstein polynomials are the most important
and interesting concrete operators on a space of continuous
functions. Since the appearance of the first edition of this book [in
1953], the interest in this subject has continued. In an appendix we
have summed up a few of the most important papers that have appeared
since.”

#### Readership

Graduate students and researchers interested in Bernstein Polynomials.