Multivariate Polynomial Approximation

This book introduces 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 builds the first comprehensive introduction to the theory of generalized hyperinterpolation. Several parts of the book are based on rotation principles, which are presented in the beginning of the book.

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Multivariate Polynomial Approximation

This book introduces 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 builds the first comprehensive introduction to the theory of generalized hyperinterpolation. Several parts of the book are based on rotation principles, which are presented in the beginning of the book.

54.99 In Stock
Multivariate Polynomial Approximation

Multivariate Polynomial Approximation

by Manfred Reimer
Multivariate Polynomial Approximation

Multivariate Polynomial Approximation

by Manfred Reimer

Paperback(Softcover reprint of the original 1st ed. 2003)

$54.99 
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Overview

This book introduces 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 builds the first comprehensive introduction to the theory of generalized hyperinterpolation. Several parts of the book are based on rotation principles, which are presented in the beginning of the book.


Product Details

ISBN-13: 9783034894364
Publisher: Birkhäuser Basel
Publication date: 11/02/2012
Series: International Series of Numerical Mathematics , #144
Edition description: Softcover reprint of the original 1st ed. 2003
Pages: 358
Product dimensions: 6.10(w) x 9.25(h) x 0.03(d)

Table of Contents

1 Basic Principles and Facts.- 2 Gegenbauer Polynomials.- 3 Multivariate Polynomials.- 4 Polynomials on Sphere and Ball.- 5 Approximation Methods.- 6 Approximation on the Sphere.- 7 Approximation on the Ball.- 8 Tomography.- A Legendre Basis.- B Zeros of the Kernel Function.- C Newman—Shapiro Operators.- D Reconstruction.- E Solutions.
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