Approximation Theory and Spline Functions

Abstract

Products of Polynomials.- Exchange Algorithms, Error Estimations and Strong Unicity in Convex Programming and Chebyshev Approximation.- Four Lectures on Multivariate Approximation.- The Approximation of Certain Functions by Compound Means.- A Practical Method for Obtaining a Priori Error Bounds in Pointwise and Mean-Square Approximation Problems.- Surface Spline Interpolation Basic Theory and Computational Aspects.- Interpolation of Scattered Data Distance Matrices and Conditionally Positive Definite Functions.- Semi-Norms in Polynomial Approximation.- On Spaces of Piecewise Polynomials in Two Variables.- Birkhoff Interpolation on the Roots of Unity.- Applications of Transformation Theory A Legacy from Zolotarev (1847-1878).- Explicit Algebraic Nth Order Approximations to PI.- Solving Integral Equations of Nuclear Scattering by Splines.- H-Sets for Non-Linear Constrained Approximation.- Operator Pade Approximants Some Ideas Behind the Theory and a Numerical Illustration.- Harmonic Approximation.- Best Harmonic L1 Approximation to Subharmonic Functions.- B-Splines on the Circle And Trigonometric B-Splines.- On Reducing the Computational Error in the Successive Approximations Method.- Lebesgue Constants Determined by Extremal Sets.- Error Bounds for Interpolation by Fourth Order Trigonometric Splines.- Approximation of Derivatives in Rn Application Construction of Surfaces in R2.- Meromorphic Functions, Maps and Their Rational Approximantsin Cn..- Splines and Collocation for Ordinary Initial Value Problems.- Degree of Approximation of Quasi-Hermite-Fejer Interpolation Based on Jacobi Abscissas Pn(?,?) (x).- Using Inclusion Theorems to Establish the Summability of Orthogonal Series.- On Projections in Approximation Theory.- A Survey of Exterior Asymptotics for Orthogonal Polynomials Associated With a Finite Interval and a Study of the Case of the General Weight Measures.- List of Participants.