Trends and Applications in Constructive Approximation

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.

List of contents

Best Poisson Approximation of Poisson Mixtures. A Linear Operator Approach.- On Some Classes of Diffusion Equations and Related Approximation Problems.- Recent Developments in Barycentric Rational Interpolation.- Approximation on Simplices and Orthogonal Polynomials.- (0, 2) Pál-type Interpolation: A General Method for Regularity.- Sufficient Convergence Conditions for Certain Accelerated Successive Approximations.- The Combined Shepard-Lidstone Bivariate Operator.- Local RBF Approximation for Scattered Data Fitting with Bivariate Splines.- Evolutionary Optimization of Neural Systems: The Use of Strategy Adaptation.- Finding Relevant Input Arguments with Radial Basis Function Networks.- Subdivision Schemes and Non Nested Grids.- A Markov-Bernstein Inequality for Gaussian Networks.- TS Control The Link between Fuzzy Control and Classical Control Theory.- Polynomial Bases for Continuous Function Spaces.- Novel Simulation Approaches for Cyclic Steady-state Fixed-bed Processes Exhibiting Sharp Fronts and Shocks.- Semigroups Associated to Mache Operators (II).- Recent Progress on Univariate and Multivariate Polynomial and Spline Quasi-interpolants.- A Strong Converse Result for Approximation by Weighted Bernstein Polynomials on the Real Line.- Rprop Using the Natural Gradient.- Some Properties of Quasi-orthogonal and Para-orthogonal Polynomials. A Survey.

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.

Product details

• Assisted by: M. G. De Bruin (Editor), Marcel G. de Bruin (Editor), M. G. DeBruin (Editor), Marcel G de Bruin (Editor), Detlef H. Mache (Editor), J. Szabados (Editor), Józse Szabados (Editor), Jozsef Szabados (Editor), József Szabados (Editor)
• Publisher: Springer, Basel
• Languages: English
• Product format: Hardback
• Released: 24.05.2005
• EAN: 9783764371241
• ISBN: 978-3-7643-7124-1
• No. of pages: 281
• Weight: 698 g
• Illustrations: XVIII, 286 p.
• Series: International Series of Numerical Mathematics; International Series of Numerical Mathematics (ISNM); International Series of Numerical Mathematics
• Subjects: Natural sciences, medicine, IT, technology > Mathematics > Analysis; C, Funktionalanalysis und Abwandlungen, Numerische Mathematik, Mathematics and Statistics, Computational Mathematics and Numerical Analysis, Computer mathematics, Numerical analysis, Special Functions, Functional analysis & transforms, Approximations and Expansions, Approximation theory