Approximation Theory, Spline Functions and Applications / edited by S.P. Singh.

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, ra...

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Bibliographic Details
Online Access: Full Text (via Springer)
Main Author: Singh, S. P.
Other title:Proceedings of the NATO Advanced Study Institute, Maratea, April 28-May 9, 1991.
Format: eBook
Language:English
Published: Dordrecht : Springer Netherlands, 1992.
Series:NATO ASI series. Mathematical and physical sciences ; 356.
Subjects:

MARC

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246 3 |a Proceedings of the NATO Advanced Study Institute, Maratea, April 28-May 9, 1991. 
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490 1 |a NATO ASI Series, Series C: Mathematical and Physical Sciences, 1389-2185 ;  |v 356. 
505 0 |a Approximation by Functions of Nonclassical Form -- Wavelets- with Emphasis on Spline-Wavelets and Applications to Signal Analysis -- Padé 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-Fejér 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 Fixed Points of Multi-valued Contractions -- Geometrical Differentiation and High-Accuracy curve Interpolation -- On Best Simultaneous Approximation in Normed Linear Spaces -- Some Examples Concerning Projection Constants. 
520 |a 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 Padé 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/> 
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