Mathematics of approximation
The approximation of a continuous function by either an algebraic polynomial, a trigonometric polynomial, or a spline, is an important issue in application areas like computer-aided geometric design and signal analysis. This book is an introduction to the mathematical analysis of such approximation,...
Guardat en:
| Autor principal: | |
|---|---|
| Format: | Livre numérique |
| Idioma: | Anglais |
| Publicat: |
Paris :
Atlantis Press
2012.
Cham : Springer Nature |
| Col·lecció: | Mathematics Textbooks for Science and Engineering
1 |
| Matèries: | |
| Accés en línia: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Nota: |
Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Mathematics of Approximation, Texte imprimé, 9789491216510 • Mathematics of Approximation, Texte imprimé, 9789462390461 • Mathematics of approximation, Johan de Villiers,..., Amsterdam, Atlantis Press, 2012, 1 vol. (xxi-406 p.), Mathematics textbooks for science and engineering, 978-94-9121649-7 |
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| 100 | 1 | |a De Villiers, Johan. | |
| 245 | 1 | 0 | |a Mathematics of approximation |c by Johan De Villiers. |
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| 260 | |a Cham : |b Springer Nature, |c 2012. | ||
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| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 505 | 0 | |a Polynomial Interpolation Formulas -- Error Analysis For Polynomial Interpolation -- Polynomial Uniform Convergence -- Best Approximation -- Approximation Operators -- Best Uniform Polynomial Approximation -- Orthogonality -- Interpolatory Quadrature -- Approximation of Periodic Functions -- Spline Approximation. | |
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| 506 | |a Accès soumis à abonnement pour tout autre établissement | ||
| 506 | |a Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 | ||
| 520 | |a The approximation of a continuous function by either an algebraic polynomial, a trigonometric polynomial, or a spline, is an important issue in application areas like computer-aided geometric design and signal analysis. This book is an introduction to the mathematical analysis of such approximation, and, with the prerequisites of only calculus and linear algebra, the material is targeted at senior undergraduate level, with a treatment that is both rigorous and self-contained. The topics include polynomial interpolation; Bernstein polynomials and the Weierstrass theorem; best approximations in the general setting of normed linear spaces and inner product spaces; best uniform polynomial approximation; orthogonal polynomials; Newton-Cotes , Gauss and Clenshaw-Curtis quadrature; the Euler-Maclaurin formula ; approximation of periodic functions; the uniform convergence of Fourier series; spline approximation,with an extensive treatment of local spline interpolation,and its application in quadrature. Exercises are provided at the end of each chapter | ||
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| 776 | 0 | |t Mathematics of Approximation |b Texte imprimé |z 9789462390461 | |
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