Constructive Approximation / Edition 1

Constructive Approximation / Edition 1

by Ronald A. DeVore, George G. Lorentz
     
 

Coupled with its sequel, this book gives a connected, unified exposition of Approximation Theory for functions of one real variable. It describes spaces of functions such as Sobolev, Lipschitz, Besov rearrangement-invariant function spaces and interpolation of operators. Other topics include Weierstrauss and best approximation theorems, properties of polynomials

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Overview

Coupled with its sequel, this book gives a connected, unified exposition of Approximation Theory for functions of one real variable. It describes spaces of functions such as Sobolev, Lipschitz, Besov rearrangement-invariant function spaces and interpolation of operators. Other topics include Weierstrauss and best approximation theorems, properties of polynomials and splines. It contains history and proofs with an emphasis on principal results.

Product Details

ISBN-13:
9783642080753
Publisher:
Springer Berlin Heidelberg
Publication date:
12/01/2010
Series:
Grundlehren der mathematischen Wissenschaften Series, #303
Edition description:
Softcover reprint of hardcover 1st ed. 1993
Pages:
452
Product dimensions:
0.94(w) x 9.21(h) x 6.14(d)

Table of Contents

1. Theorems of Weierstrass.- 2. Spaces of Functions.- 3. Best Approximation.- 4. Properties of Polynomials.- 5. Splines.- 6. K-Functionals and Interpolation Spaces.- 7. Central Theorems of Approximation.- 8. Influence of Endpoints in Polynomial Approximation.- 9. Approximation by Operators.- 10. Bernstein Polynomials.- 11. Approximation of Classes of Functions, Müntz Theorems.- 12. Spline Approximation.- 13. Spline Interpolation and Projections onto Spline Spaces.

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