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A course in approximation theory /
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Catalogue Information
Field name
Details
Dewey Class
511/.4
Title
A course in approximation theory / ([EBook] ) / Ward Cheney, Will Light.
Author
Cheney, E. W. , 1929-
Added Personal Name
Light, W. A. , 1950-
Publication
Providence, R.I. : : American Mathematical Society, , [2009?]
Physical Details
1 online resource (xiv, 359 p. : ill.)
Series
Graduate studies in mathematics
; 101
ISBN
9781470411657 (online)
Note
Originally published: Pacific Grove : Brooks/Cole Pub. Co., c2000.
Contents note
Chapter 1. Introductory discussion of interpolation: Chapter 2. Linear interpolation operators: Chapter 3. Optimization of the Lagrange operator: Chapter 4. Multivariate polynomials: Chapter 5. Moving the nodes: Chapter 6. Projections: Chapter 7. Tensor-product interpolation: Chapter 8. The Boolean algebra of projections: Chapter 9. The Newton paradigm for interpolation: Chapter 10. The Lagrange paradigm for interpolation: Chapter 11. Interpolation by translates of a single function: Chapter 12. Positive definite functions: Chapter 13. Strictly positive definite functions: Chapter 14. Completely monotone functions: Chapter 15. The Schoenberg interpolation theorem: Chapter 16. The Micchelli interpolation theorem: Chapter 17. Positive definite functions on spheres: Chapter 18. Approximation by positive definite functions: Chapter 19. Approximation reconstruction of functions and tomography: Chapter 20. Approximation by convolution: Chapter 21. The good kernels: Chapter 22. Ridge functions: Chapter 23. Ridge function approximation via convolutions: Chapter 24. Density of ridge functions: Chapter 25. Artificial neural networks: Chapter 26. Chebyshev centers: Chapter 27. Optimal reconstruction of functions: Chapter 28. Algorithmic orthogonal projections: Chapter 29. Cardinal B-splines and the sinc function: Chapter 30. The Golomb-Weinberger theory: Chapter 31. Hilbert function spaces and reproducing kernels: Chapter 32. Spherical thin-plate splines: Chapter 33. Box splines: Chapter 34. Wavelets, I: Chapter 35. Wavelets II: Chapter 36. Quasi-interpolation:
Mode of acces to digital resource
Electronic reproduction. Providence, Rhode Island : American Mathematical Society. 2012
Mode of access: World Wide Web. System requirements: Internet Explorer 6.0 (or higher) or Firefox 2.0 (or higher). Available as searchable text in PDF format.
System details note
Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users).
Internet Site
http://www.ams.org/gsm/101
See Also
https://doi.org/10.1090/gsm/101
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Subject References:
Approximation theory
.
Authors:
Cheney, E. W. 1929-
.
(Elliott Ward)
.
Light, W. A. 1950-
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(William Allan)
.
Series:
Graduate studies in mathematics
.
Classification:
511/.4
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