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Multivariate Polynomial Approximation

Multivariate Polynomial Approximation

Paperback

Series: International Numerical Mathematics, Book 144

General Mathematics

ISBN10: 3034894368
ISBN13: 9783034894364
Publisher: Birkhauser
Published: Nov 2 2012
Pages: 358
Weight: 1.15
Height: 0.77 Width: 6.14 Depth: 9.21
Language: English

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.

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General Mathematics