Multivariate Polynomial Approximation

Paperback Engels 2012 9783034894364
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Samenvatting

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.

Specificaties

ISBN13:9783034894364
Taal:Engels
Bindwijze:paperback
Aantal pagina's:358
Uitgever:Birkhäuser Basel

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Inhoudsopgave

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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          Multivariate Polynomial Approximation