New Developments in Approximation Theory: 2nd International Dortmund Meeting (Idomat) '98, Germany, February 23-27, 1998

ISBN-13: 9783034897334 / Angielski / Miękka / 2012 / 344 str.

Manfred W. Muller; Martin D. Buhmann; Detlef Mache

Opis

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).

Spis treści

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.

O autorze

Michael Felten, geb. 1951, arbeitet seit 28 Jahren als Gymnasiallehrer für Mathematik und Kunst in Köln. Er ist Autor von Unterrichtsmaterialien und Präventionsmedien, Erziehungsratgebern und pädagogischen Essays.