Overview
- New access to Appell polynomials via an elementary biorthonormal system defined by the reproducing kernel of spherical harmonics
- Comprehensive introduction to generalized hyperinterpolation
- Contains introduction to tomography
Part of the book series: International Series of Numerical Mathematics (ISNM, volume 144)
Access this book
Tax calculation will be finalised at checkout
Other ways to access
Table of contents (8 chapters)
-
Front Matter
-
Introduction
-
Front Matter
-
-
Approximation Means
-
Front Matter
-
-
Multivariate Approximation
-
Front Matter
-
-
Applications
-
Front Matter
-
-
Back Matter
Keywords
About this book
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.
Authors and Affiliations
Bibliographic Information
Book Title: Multivariate Polynomial Approximation
Authors: Manfred Reimer
Series Title: International Series of Numerical Mathematics
DOI: https://doi.org/10.1007/978-3-0348-8095-4
Publisher: Birkhäuser Basel
-
eBook Packages: Springer Book Archive
Copyright Information: Springer Basel AG 2003
Hardcover ISBN: 978-3-7643-1638-9Published: 25 August 2003
Softcover ISBN: 978-3-0348-9436-4Published: 02 November 2012
eBook ISBN: 978-3-0348-8095-4Published: 06 December 2012
Series ISSN: 0373-3149
Series E-ISSN: 2296-6072
Edition Number: 1
Number of Pages: X, 358