New Developments in Approximation Theory

2nd International Dortmund Meeting (IDoMAT) ¿98, Germany, February 23¿27, 1998
Softcover Nachdruck of the original 1. Auflage 1999
ISBN: 978-3-0348-9733-4
Verlag: Birkhäuser Basel

Buch, Englisch, Band 132, 344 Seiten, Paperback, Format (B × H): 170 mm x 244 mm, Gewicht: 601 g

Reihe: International Series of Numerical Mathematics

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).

Zielgruppe

Research

Autoren/Hrsg.

Müller, Manfred W.

Felten, Michael

Buhmann, Martin D.

Mache, Detlef

Fachgebiete

• Mathematik | Informatik Mathematik Mathematische Analysis
• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Numerische Mathematik

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.