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

Front Cover
Martin D. Buhmann, Detlef Mache
Springer Science & Business Media, Jan 29, 2003 - Mathematics - 274 pages
0 Reviews
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.
 

What people are saying - Write a review

We haven't found any reviews in the usual places.

Selected pages

Contents

Linear Perturbations of the Classical Orthogonal Polynomials which are Eigen functions of Linear Differential Operators
1
A General Method for Regularity
21
De la Vallee Poussin Means for the Hankel Transform
27
Polynomial Bases on the Sphere
39
A Shooting Method for Symbolic Computation of Splines
53
Error Estimates for the CaratheodoryFejer Method in Polynomial Approximation
63
Shape Preserving Widths of Weighted SobolevType Classes
79
On Approximation Methods by Using Orthogonal Polynomial Expansions
95
Semigroups Associated to Mache Operators
143
A Survey on Lagrange Interpolation Based on Equally Spaced Nodes
153
Multiresolution Analysis with Pulses
165
Hsplines and Quasiinterpolants on a Three Directional Mesh
187
Approximation by Positive Definite Kernels
203
Inequalities for Polynomials With Weights Having Infinitely many Zeros on the Real Line
223
Some Erdostype Convergence Processes in Weighted Interpolation
237
Absolute Continuity of Spectral Measure for Certain Unbounded Jacobi Matrices
255

Curious qSeries as Counterexamples in Pade Approximation
109
On the Degree of Approximation in Multivariate Weighted Approximation
129
Approximation on Compact Subsets of R
263
Copyright

Other editions - View all

Common terms and phrases

About the author (2003)

fm.author_biographical_note1

Bibliographic information