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Trends and Applications in Constructive Approximation [electronic resource] /edited by Detlef H. Mache, József Szabados, Marcel G. Bruin.

by Mache, Detlef H [editor.]; Szabados, József [editor.]; Bruin, Marcel G [editor.]; SpringerLink (Online service).
Material type: materialTypeLabelBookSeries: ISNM International Series of Numerical Mathematics: 151Publisher: Basel : Birkhäuser Basel, 2005.Description: XV, 281 p. online resource.ISBN: 9783764373566.Subject(s): Mathematics | Functions, special | Computer science -- Mathematics | Numerical analysis | Mathematics | Approximations and Expansions | Special Functions | Computational Mathematics and Numerical Analysis | Numerical AnalysisDDC classification: 511.4 Online resources: Click here to access online
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.
In: Springer eBooksSummary: 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.
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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.

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.

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