A collection of papers by international contributors describing new developments in the fields of univariate and multivariate approximation theory. This research has applications in areas such as computer-aided geometric design, as applied in engineering and medical technology (e. g. computerized tomography).
Inhaltsverzeichnis
Feller Semigroups, Bernstein type Operators and Generalized Convexity Associated with Positive Projections. - Gregory s Rational Cubic Splines in Interpolation Subject to Derivative Obstacles. - Interpolation by Splines on Triangulations Oleg Davydov. - On the Use of Quasi-Newton Methods in DAE-Codes. - On the Regularity of Some Differential Operators. - Some Inequalities for Trigonometric Polynomials and their Derivatives. - Inf-Convolution and Radial Basis Functions. - On a Special Property of the Averaged Modulus for Functions of Bounded Variation. - A Simple Approach to the Variational Theory for Interpolation on Spheres. - Constants in Comonotone Polynomial Approximation A Survey. - Will Ramanujan kill Baker-Gammel-Wills? (A Selective Survey of Padé Approximation). - Approximation Operators of Binomial Type. - Certain Results involving Gammaoperators. - Recent research at Cambridge on radial basis functions. - Representation of quasi-interpolants as differential operators and applications. - Native Hilbert Spaces for Radial Basis Functions I. - Adaptive Approximation with Walsh-similar Functions. - Dual Recurrence and Christoffel-Darboux-Type Formulas for Orthogonal Polynomials. - On Some Problems of Weighted Polynomial Approximation and Interpolation. - Asymptotics of derivatives of orthogonal polynomials based on generalized Jacobi weights. Some new theorems and applications. - List of participants.