Trends And Applications in Constructive Approximation

by Mache, Detlef H.; Szabados, Jozsef; de Bruin, Marcel G.; Bruin, M. G. De

• ISBN13: 9783764371241
• ISBN10: 3764371242
• Format: Hardcover
• Copyright: 2005-08-30
• Publisher: Birkhauser

Summary

This volume contains contributions from international experts in the fields of constructive approximation. This area has reached out to encompass the computational and approximation-theoretical aspects of various interesting fields in applied mathematics such as (multivariate) approximation methods, quasi-interpolation,and approximation by (orthogonal) polynomials, as well as the modern mathematical developments in neuro fuzzy approximation, RBF-networks, industrial and engineering applications.

Table of Contents

Preface	vii
List of Participants	ix
Scientific Program	xiii
Best Poisson Approximation of Poisson Mixtures. A Linear Operator Approach	1	(12)
Jose Antonio Adell
Alberto Lekuona
On Some Classes of Diffusion Equations and Related Approximation Problems	13	(14)
Francesco Altomare
Ioan Rasa
Recent Developments in Barycentric Rational Interpolation	27	(26)
Jean-Paul Berrut
Richard Baltensperger
Hans D. Mittelmann
Approximation on Simplices and Orthogonal Polynomials	53	(8)
Dietrich Braess
(0,2) Pal-type Interpolation: A General Method for Regularity	61	(10)
Marcel G. de Bruin
Detlef H. Mache
Sufficient Convergence Conditions for Certain Accelerated Successive Approximations	71	(6)
Emil Catinas
The Combined Shepard-Lidstone Bivariate Operator	77	(14)
Teodora Catinas
Local RBF Approximation for Scattered Data Fitting with Bivariate Splines	91	(12)
Oleg Davydov
Alessandra Sestini
Rossana Morandi
Evolutionary Optimization of Neural Systems: The Use of Strategy Adaptation	103	(22)
Christian Igel
Stefan Wiegand
Frauke Friedrichs
Finding Relevant Input Arguments with Radial Basis Function Networks	125	(10)
Detlef H. Mache
Jennifer Meyer
Subdivision Schemes and Non Nested Grids	135	(30)
Marie-Laurence Mazure
A Markov-Bernstein Inequality for Gaussian Networks	165	(16)
Hrushikesh N. Mhaskar
TS Control -- The Link between Fuzzy Control and Classical Control Theory	181	(14)
Kai Michels
Polynomial Bases for Continuous Function Spaces	195	(12)
Josef Obermaier
Ryszard Szwarc
Novel Simulation Approaches for Cyclic Steady-state Fixed-bed Processes Exhibiting Sharp Fronts and Shocks	207	(18)
Frank Platte
Dmitri Kuzmin
Christoph Fredebeul
Stefan Turek
Semigroups Associated to Mache Operators (II)	225	(4)
Ioan Rasa
Recent Progress on Univariate and Multivariate Polynomial and Spline Quasi-interpolants	229	(18)
Paul Sablonniere
A Strong Converse Result for Approximation by Weighted Bernstein Polynomials on the Real Line	247	(12)
Jozsef Szabados
Rprop Using the Natural Gradient	259	(14)
Christian Igel
Marc Toussaint
Wan Weishui
Some Properties of Quasi-orthogonal and Para-orthogonal Polynomials. A Survey	273
Biancamaria Della Vecchia
Giuseppe Mastroianni
Peter Vertesi