Constructive Approximation Hardback
by Ronald A. DeVore, George G. Lorentz
Part of the Grundlehren der mathematischen Wissenschaften series
Hardback
Description
The present book deals with some basic problems of Approximation Theory: with properties of polynomials and splines, with approximation by poly- mials, splines, linear operators.
It also provides the necessary material ab out different function spaces.
In some sense, this is a modern version of the corre sponding parts of the book of one of us (Lorentz [A-1966]).
We have tried to give a complete exposition of the main, basic theorems of the theory, without going into too much detail, treating the most general cases or discussing very special problems.
There are essential limitations: this is a book about approximation of functions of one real variable.
But Approxima tion Theory of functions of several real or of complex variables would require new books.
Very little is given on interpolation. But even with these restric tions, proofs of some deep and important results, like Korneichuk's theorems about approximation in Lipschitz spaces, could not be included.
Another book, with different authors, "Constructive Approximation, Advanced Problems", is in preparation.
There is an extensive bibliography, which can be used also as an Author Index: each paper is supplied with references for the page or pages where it has been used.
Information
-
Out of stock
- Format:Hardback
- Pages:452 pages, X, 452 p.
- Publisher:Springer-Verlag Berlin and Heidelberg GmbH & Co. K
- Publication Date:04/11/1993
- Category:
- ISBN:9783540506270
Information
-
Out of stock
- Format:Hardback
- Pages:452 pages, X, 452 p.
- Publisher:Springer-Verlag Berlin and Heidelberg GmbH & Co. K
- Publication Date:04/11/1993
- Category:
- ISBN:9783540506270
