Trends and Applications in Constructive Approximation

ISBN-13: 9783764371241 / Angielski / Twarda / 2005 / 286 str.

Detlef H. Mache; Jozsef Szabados; Marcel G. de Bruin

Opis

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.

Spis treści

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.