Multivariate Polynomial Approximation
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| Title: | Multivariate Polynomial Approximation |
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| 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. |
| Authors: | Manfred Reimer |
| Resource Type: | eBook. |
| Subjects: | Approximation theory, Numerical analysis |
| Categories: | MATHEMATICS / Mathematical Analysis, MATHEMATICS / Numerical Analysis |
| Database: | eBook Index |
| Abstract: | 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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| ISBN: | 9783764316389 9783034894364 9783034880954 |