Constructive approximation Ronald A. DeVore, George G. Lorentz. Grundlehren der mathematischen Wissenschaften 303.

DeVore, Ronald A.:

ISBN 10: 3540506276 / ISBN 13: 9783540506270

Published by Berlin, Springer-Verl [1993]., 1993

About this Item

Ex-library with stamp and library-signature. GOOD condition, some traces of use. Ancien Exemplaire de bibliothèque avec signature et cachet. BON état, quelques traces d'usure. Ehem. Bibliotheksexemplar mit Signatur und Stempel. GUTER Zustand, ein paar Gebrauchsspuren. 41 DEV 9783540506270 Sprache: Englisch Gewicht in Gramm: 1150.

Seller Inventory # 2508247

Bibliographic Details

• Title: Constructive approximation Ronald A. DeVore, George G. Lorentz. Grundlehren der mathematischen Wissenschaften 303.
• Publisher: Berlin, Springer-Verl [1993].
• Publication Date: 1993
• Language: English
• ISBN 10: 3540506276
• ISBN 13: 9783540506270
• Binding: Hardcover
• Weight: 1150 grams
• Seller catalogs:
  • SA MATHEMATIK

About this title

Synopsis

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.

Review

"This is a stimulating book and a mine of useful techniques and results..." Bulletin of the LMS