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Approximation Theory, Spline Functions and Applications (Paperback, Softcover reprint of the original 1st ed. 1992)
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Approximation Theory, Spline Functions and Applications (Paperback, Softcover reprint of the original 1st ed. 1992)
Series: NATO Science Series C, 356
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These are the Proceedings of the NATO Advanced Study Institute on
Approximation Theory, Spline Functions and Applications held in the
Hotel villa del Mare, Maratea, Italy between April 28,1991 and May
9, 1991. The principal aim of the Advanced Study Institute, as
reflected in these Proceedings, was to bring together recent and
up-to-date developments of the subject, and to give directions for
future research. Amongst the main topics covered during this
Advanced Study Institute is the subject of uni variate and
multivariate wavelet decomposition over spline spaces. This is a
relatively new area in approximation theory and an increasingly
impor tant subject. The work involves key techniques in
approximation theory cardinal splines, B-splines, Euler-Frobenius
polynomials, spline spaces with non-uniform knot sequences. A
number of scientific applications are also highlighted, most
notably applications to signal processing and digital im age
processing. Developments in the area of approximation of functions
examined in the course of our discussions include approximation of
periodic phenomena over irregular node distributions, scattered
data interpolation, Pade approximants in one and several variables,
approximation properties of weighted Chebyshev polynomials, minimax
approximations, and the Strang Fix conditions and their relation to
radial functions. I express my sincere thanks to the members of the
Advisory Commit tee, Professors B. Beauzamy, E. W. Cheney, J.
Meinguet, D. Roux, and G. M. Phillips. My sincere appreciation and
thanks go to A. Carbone, E. DePas cale, R. Charron, and B."
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