Bernstein Polynomials

Bernstein Polynomials
Author :
Publisher : American Mathematical Soc.
Total Pages : 146
Release :
ISBN-10 : 9780821875582
ISBN-13 : 0821875582
Rating : 4/5 (582 Downloads)

Book Synopsis Bernstein Polynomials by : G. G. Lorentz

Download or read book Bernstein Polynomials written by G. G. Lorentz and published by American Mathematical Soc.. This book was released on 2012 with total page 146 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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."


Bernstein Polynomials Related Books

Bernstein Polynomials
Language: en
Pages: 146
Authors: G. G. Lorentz
Categories: Mathematics
Type: BOOK - Published: 2012 - Publisher: American Mathematical Soc.

DOWNLOAD EBOOK

Bernstein polynomials are a remarkable family of polynomials associated to any given function on the unit interval. Their first notable appearance was in Bernst
Interpolation and Approximation by Polynomials
Language: en
Pages: 325
Authors: George M. Phillips
Categories: Mathematics
Type: BOOK - Published: 2006-04-06 - Publisher: Springer Science & Business Media

DOWNLOAD EBOOK

In addition to coverage of univariate interpolation and approximation, the text includes material on multivariate interpolation and multivariate numerical integ
Extremal Problems and Inequalities of Markov-Bernstein Type for Algebraic Polynomials
Language: en
Pages: 442
Authors: Robert B. Gardner
Categories: Mathematics
Type: BOOK - Published: 2022-02-15 - Publisher: Elsevier

DOWNLOAD EBOOK

Bernstein-type Inequalities for Polynomials and Rational Functions is an integrated, powerful and clear presentation of the emergent field in approximation theo
Numerical Methods in Economics
Language: en
Pages: 662
Authors: Kenneth L. Judd
Categories: Business & Economics
Type: BOOK - Published: 1998-09-28 - Publisher: MIT Press

DOWNLOAD EBOOK

To harness the full power of computer technology, economists need to use a broad range of mathematical techniques. In this book, Kenneth Judd presents technique
Implicit Curves and Surfaces: Mathematics, Data Structures and Algorithms
Language: en
Pages: 351
Authors: Abel Gomes
Categories: Computers
Type: BOOK - Published: 2009-05-12 - Publisher: Springer Science & Business Media

DOWNLOAD EBOOK

Implicit objects have gained increasing importance in geometric modeling, visualisation, animation, and computer graphics, because their geometric properties pr