Advanced Problems in Constructive Approximation

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ISBN: 9783764366483 | 3764366486
Cover: Hardcover
Copyright: 4/1/2003

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This volume contains refereed articles originating from the 3rd International Dortmund Meeting on Approximation Theory in Witten-Bommerholz. The contributors are renowned international experts in their individual fields of research, including, in particular, approximation methods, orthogonal polynomials, radial basis functions, multivariate spline approximation and interpolation, Pade approximation, polynomial approximation, and quasi-interpolation.

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Preface
List of Participants
Linear Perturbations of the Classical Orthogonal Polynomials which are Eigenfunctions of Linear Differential Operators	p. 1
(0.1) Pal-type Interpolation: A General Method for Regularity	p. 21
De la Vallee Poussin Means for the Hankel Transform	p. 27
Polynomial Bases on the Sphere	p. 39
A Shooting Method for Symbolic Computation of Splines	p. 53
Error Estimates for the Caratheodory-Fejer Method in Polynomial Approximation	p. 63
Shape Preserving Widths of Weighted Sobolev-Type Classes	p. 79
On Approximation Methods by Using Orthogonal Polynomial Expansions	p. 95
Curious q-Series as Counterexamples in Pade Approximation	p. 109
On the Degree of Approximation in Multivariate Weighted Approximation	p. 129
Semigroups Associated to Mache Operators	p. 143
A Survey on Lagrange Interpolation Based on Equally Spaced Nodes	p. 153
Multiresolution Analysis with Pulses	p. 165
H-Splines and Quasi-interpolants on a Three Directional Mesh	p. 187
Approximation by Positive Definite Kernels	p. 203
Inequalities for Polynomials With Weights Having Infinitely many Zeros on the Real Line	p. 223
Some Erdos-type Convergence Processes in Weighted Interpolation	p. 237
Absolute Continuity of Spectral Measure for Certain Unbounded Jacobi Matrices	p. 255
Approximation on Compact Subsets of R	p. 263
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Advanced Problems in Constructive Approximation

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