Advanced Problems in Constructive Approximation: 3rd International Dortmund Meeting on Approximation Theory (IDoMAT) 2001

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Martin D. Buhmann, Detlef Mache
Springer Science & Business Media, Jan 29, 2003 - Mathematics - 274 pages
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The current form of modern approximation theory is shaped by many new de velopments which are the subject of this series of conferences. The International Meetings on Approximation Theory attempt to keep track in particular of fun damental advances in the theory of function approximation, for example by (or thogonal) polynomials, (weighted) interpolation, multivariate quasi-interpolation, splines, radial basis functions and several others. This includes both approxima tion order and error estimates, as well as constructions of function systems for approximation of functions on Euclidean spaces and spheres. It is a piece of very good fortune that at all of the IDoMAT meetings, col leagues and friends from all over Europe, and indeed some count ries outside Europe and as far away as China, New Zealand, South Africa and U.S.A. came and dis cussed mathematics at IDoMAT conference facility in Witten-Bommerholz. The conference was, as always, held in a friendly and congenial atmosphere. After each meeting, the delegat es were invited to contribute to the proceed ing's volume, the previous one being published in the same Birkhäuser series as this one. The editors were pleased about the quality of the contributions which could be solicited for the book. They are refereed and we should mention our gratitude to the referees and their work.

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Linear Perturbations of the Classical Orthogonal Polynomials which are Eigen functions of Linear Differential Operators
A General Method for Regularity
De la Vallee Poussin Means for the Hankel Transform
Polynomial Bases on the Sphere
A Shooting Method for Symbolic Computation of Splines
Error Estimates for the CaratheodoryFejer Method in Polynomial Approximation
Shape Preserving Widths of Weighted SobolevType Classes
On Approximation Methods by Using Orthogonal Polynomial Expansions
Semigroups Associated to Mache Operators
A Survey on Lagrange Interpolation Based on Equally Spaced Nodes
Multiresolution Analysis with Pulses
Hsplines and Quasiinterpolants on a Three Directional Mesh
Approximation by Positive Definite Kernels
Inequalities for Polynomials With Weights Having Infinitely many Zeros on the Real Line
Some Erdostype Convergence Processes in Weighted Interpolation
Absolute Continuity of Spectral Measure for Certain Unbounded Jacobi Matrices

Curious qSeries as Counterexamples in Pade Approximation
On the Degree of Approximation in Multivariate Weighted Approximation
Approximation on Compact Subsets of R

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