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Author Cheney, E. W. (Elliott Ward), 1929-
Title A course in approximation theory / [electronic resource] Ward Cheney, Will Light
Imprint Providence, R.I. : American Mathematical Society, [2009?]
book jacket
Descript 1 online resource (xiv, 359 p. : ill.)
Series Graduate Studies in Mathematics, 1065-7339 (print); v. 101
Graduate studies in mathematics ; v. 101
Note Originally published: Pacific Grove : Brooks/Cole Pub. Co., c2000
Includes bibliographical references (p. 327-354) and indexes
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
Access is restricted to licensed institutions
Electronic reproduction. Providence, Rhode Island : American Mathematical Society. 2012
Mode of access : World Wide Web
Description based on print version record
Link Print version: Cheney, E. W. 1929- course in approximation theory / (DLC) 2008047417 1065-7339 9780821847985
Subject Approximation theory -- Textbooks
Alt Author Light, W. A. (William Allan), 1950-
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