Approximation Theory
Proceedings of the International Dortmund Meeting/DOMAT 95 held in Witten, Germany, March 13-17, 1995
Published on 21. November 1995
Book
Hardback
332 pages
978-3-05-501673-8 (ISBN)
Description
These conference proceedings report on the International Dortmund Meeting on Approximation Theory (IDoMAT95) at Haus Bommerholz, the conference centre of Dortmund University, during the week of March 13-17, 1995. The authors discuss a variety of ideas, questions and applicable methods in applied sciences and in several fields of approximation theory which lead to new challenges to the approximation by means of linear operators and shape-preserving approximation, methods for the study of differential (diffusion) equations, approximation results of solutions of specific hyperbolic differential equations, polynomial and spline interpolation, density problems in multivariate approximation, orthogonal polynomials and wavelets. This volume collects the complete papers of the invited lectures, together with a selection of the papers corresponding to the research talks presented during the conference IDoMAT95.
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Content
Approximation Theory Methods for the Study of Diffusion Equations (F. Altomare); The Approximation Theoretical Behaviour of Solutions of Specific Hyperbolic Differential Equations at Zero and Infinity (P. Butzer & A. Gessinger); Boundedness of Lagrange and Hermite Operators (B. Vecchia, et al.); De La Vallie Poussin and Bernstein - Type Operators (M. Derriennic); On Error Bounds for Finite Difference Schemes (H. Esser, et al.); Generalization of Bernstein - Type Approximation Methods (I. Gavrea & D. Mache); Polynomials in the Complex Plane (M. Golitschek); Error Estimates for Polynomial and Spline Interpolation by the Modulus of Continuity (P. Kvhler); Approximation by Constrained and Unconstrained Polynomials on Finite and Infinite Intervals (A. Kros & J. Szabados); On the Inverse Mean Value Property of Harmonic Functions on Ellipses and Best Harmonic L1 - Approximation (P. Kubach); Recent Developments in Shape Preserving Approximation (D. Leviatan); The Approximation by Means of Some Linear Positive Operators (A. Lupa ); Minimality Properties and Applications of Four Kinds of Chebyshev Polynomials (J. Mason); Best Constants in Estimates with Second Order Moduli of Continuity (R. P lt nea); Some Density Problems in Multivariate Approximation (A. Pinkus); On Local Parametric Approximation by Polynomial Curves (K. Scherer); Trigonometric Wavelets and the Uncertainty Principle (K. Selig); Orthogonal Polynomials with Perturbed Recurrence Coefficients (M.-R. Skrzipek); On p - Normal Pointsystems: A Survey (P. Virtesi); List of Participants.