عنوان

Approximation Theory, Spline Functions and Applications

940105164X

9401126348

9789401051644

9789401126342

b595100

Approximation Theory, Spline Functions and Applications

[Book]

edited by S.P. Singh.

Dordrecht

Springer Netherlands

1992

(500 pages)

NATO ASI series., Series C,, Mathematical and physical sciences ;, 356.

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.

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.
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.

Proceedings of the NATO Advanced Study Institute, Maratea, April 28-May 9, 1991

Approximation theory -- Congresses.

Approximation theory.

Spline theory -- Congresses.

edited by S.P. Singh.

S P Singh

[Book]

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