The volume is of interest both for mathematicians and applied researchers such as engineers High importance of applied mathematics (constructive approximation) in many pratical issues (e.g. CAGD, tomography, engineering applications) Includes supplementary material: sn.pub/extras

Klappentext

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.

Inhalt
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.