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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書誌事項
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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内容説明・目次
内容説明
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.
目次
- 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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