Advances in multivariate approximation : proceedings of the 3rd International Conference on Multivariate Approximation Theory held at Witten-Bommerholz, Germany, September 27-October 2, 1998
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Bibliographic Information
Advances in multivariate approximation : proceedings of the 3rd International Conference on Multivariate Approximation Theory held at Witten-Bommerholz, Germany, September 27-October 2, 1998
（Mathematical research, v. 107）
Wiley-VCH, c1999
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Description and Table of Contents
Description
This volume deals with main results of the 3rd International Conference on Multivariate Approximation, organized by the University of Dortmund. Special emphasis is put on the following topics: interpolation and approximation on spheres and balls; approximation by solutions of differential equations; construction of node systems; and scattered data techniques.
Table of Contents
- Problems of Approximation Theory in Discrete Geometry (N. Andreev & V. Yudin)
- Dense Vector Spaces of Universal Harmonic Functions (D. Armitage)
- Best One-sided L1-Approximation by Harmonic and Subharmonic Functions (D. Armitage & S. Gardiner)
- Numerical Stability of Fast Fourier Transforms (G. Baszenski, et al.)
- The Saturation Theorem for Box Spline Orthogonal Projection (M. Be ka & K. Dziedziul)
- Problem on Monotonic Behaviour of Bernstein Operators (M. Be ka & K. Dziedziul)
- Best One-Sided L1-Approximation by Blending Functions (B. Bojanov, et al.)
- On the Asymptotics of Points which Maximize Determinants of the Form det [g( xi - xj )] (L. Bos & U. Maier)
- Besov Regularity for the Stokes Problem (S. Dahlke)
- Optimal Periodic Interpolation in Multivariate Periodic Hilbert Spaces (F.-J. Delvos)
- Multiscale Modelling from Geopotential Data (W. Freeden, et al.)
- On a Family of Orthogonal Wavelets on the Quincunx Grid: Open Regularity Questions (A. Gottscheber & G. Steidl)
- Average Case Analysis of Numerical Integration (P. Grabner, et al.)
- Cubature Formulas on Spheres (H. Kvnig)
- Numerical Calculation of Spherical Designs (U. Maier)
- On Bivariate Spline Spaces (G. N
- rnberger & F. Zeilfelder)
- Spherical Polynomial Approximations: A Survey (M. Reimer)
- Range Restricted Interpolation by Cubic C1-Splines on Clough-Tocher Splits (J. Schmidt)
- Some Error Estimates for Periodic Interpolation of Functions from Besov Spaces (W. Sickel & F. Sprengel)
- The Uniform Error of Hyperinterpolation on the Sphere (I. Sloan & R. Womersley)
- Simultaneous Approximation in the Dirichlet Space (A. Stray)
- The Equivalence between Weighted K-Functionals and Moduli of Smoothness on a Simplex and their Applications (P.-C. Xuan).
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