Multivariate polynomial approximation
By: Manfred Reimer
Series: International series of numerical mathematics -- v. 144; International series of numerical mathematics -- v. 144.
Publisher: Springer Basel AG
Published: 2003
Place of publication: Basel
Language: eng
Format: [electronic resource] /
Number of pages: 358
ISBN-13: 9783034880954; 9783034894364
Subjects: Approximation theory; Multivariate analysis; Polynomials
Description: Multivariate polynomials are a main tool in approximation. The book begins with an introduction to the general theory by presenting the most important facts on multivariate interpolation, quadrature, orthogonal projections and their summation, all treated under a constructive view, and embedded in the theory of positive linear operators. On this background, the book gives the first comprehensive introduction to the recently developped theory of generalized hyperinterpolation. As an application, the book gives a quick introduction to tomography. Several parts of the book are based on rotation principles, which are presented in the beginning of the book, together with all other basic facts needed.
Notes: Originally published by Birkhäuser Verlag, Basel, Switzerland in 2003.

Includes bibliographical references (p. [345]-350) and index.