Multivariate Approximation And Splines

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Multivariate Approximation and Splines

Author: Günther Nürnberger
language: en
Publisher: Springer Science & Business Media
Release Date: 1997
This volume presents refereed papers covering a variety of topics in the growing field of multivariate approximation and slines.
Multivariate Splines

Subject of multivariate splines presented from an elementary point of view; includes many open problems.
Spline Functions and Multivariate Interpolations

This volume provides a comprehensive introduction to the theory of spline functions. Emphasis is given to new developments, such as the general Birkhoff-type interpolation, the extremal properties of splines, their prominent role in the optimal recovery of functions, and multivariate interpolation by polynomials and splines. The book has thirteen chapters dealing, respectively, with interpolation by algebraic polynomials, the space of splines, B-splines, interpolation by spline functions, natural spline functions, perfect splines, monosplines, periodic splines, multivariate B-splines and truncated powers, multivariate spline functions and divided differences, box splines, multivariate mean value interpolation, multivariate polynomial interpolations arising by hyperplanes, and multivariate pointwise interpolation. Some of the results described are presented as exercises and hints are given for their solution. For researchers and graduate students whose work involves approximation theory.