Approximation Theory, Spline Functions and Applications -

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Résumé :
This volume containing the Proceedings of the NATO Advanced Study Institute embodies as such survey articles and a wealth of recent results from the theory of splines, spline-wavelets, multivariate wavelet decomposition, interpolation theory, polynomial approximation, near-minimax approximations, rational interpolants, and Pad? approximants in one and several variables, radial basis approximation, optimization theory, orthogonal polynomials, and more. br/ The volume will therefore be of interest to researchers and graduate students in mathematics and engineering for whom the latest developments in approximation theory are of interest. br/

Sommaire:
Approximation by Functions of Nonclassical Form.- Wavelets- with Emphasis on Spline-Wavelets and Applications to Signal Analysis.- Pad? Approximation in one and more Variables.- Rational Hermite Interpolation in one and more variables.- The Method of Alternating Orthogonal Projections.- Selections for Metric Projections.- Weighted Polynomials.- Some Aspects of Radial Basis Function Approximation.- A Tutorial on Multivariate Wavelet Decomposition.- Using the Refinement Equation for the Construction of Pre-Wavelets VI: Shift Invariant Subspaces.- Error Estimates for Near-Minimax Approximations.- Different Metrics and Location Problems.- On the Effectiveness of Some Inversion Methods for Noisy Fourier Series.- A Generalization of N-Widths.- The Equivalence of the Usual and Quotient Topologies for C?(E) when E ? ?n is Whitney p- Regular.- Korovkin Theorems for Vector-Valued Continuous Functions.- On Modified Bojanic-Shisha Operators.- A property of zeros and Cotes numbers of Hermite and Laguerre orthogonal polynomials.- Hermite-Fej?r and Hermite Interpolation.- New Results on Lagrange Interpolation.- Ambiguous Loci in Best Approximation Theory.- A Theorem on best approximations in topological vector spaces.- On the Characterization of Totally Positive Matrices.- Iterative Methods for the General Order Complementarity Problem.- Wavelets, Splines, and Divergence-Free Vector Functions.- An Approach to Meromorphic Approximation in a Stein Manifold.- Approximating Fixed Points for Nonexpansive Maps in Hilbert Spaces.- On Approximation and Interpolation of Convex Functions.- Convergence of Approximating Fixed Point Sets for Multivalued Nonexpansive Mappings.- A Subdivision Algorithm for Non-Uniform B-Splines.- Some Applications of an Approximation Theorem for FixedPoints of Multi-valued Contractions.- Geometrical Differentiation and High-Accuracy curve Interpolation.- On Best Simultaneous Approximation in Normed Linear Spaces.- Some Examples Concerning Projection Constants.