Spline Functions and Multivariate Interpolations by Borislav D. BojanovSpline Functions and Multivariate Interpolations by Borislav D. Bojanov

Spline Functions and Multivariate Interpolations

byBorislav D. Bojanov

Paperback | December 9, 2010

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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.
Title:Spline Functions and Multivariate InterpolationsFormat:PaperbackDimensions:287 pages, 9.45 × 6.3 × 0 inPublished:December 9, 2010Publisher:Springer NetherlandsLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:9048142598

ISBN - 13:9789048142590

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Table of Contents

Series Editor's Preface. Preface. 1. Interpolation by Algebraic Polynomials. 2. The Space of Splines. 3. B-Splines. 4. Interpolation by Spline Functions. 5. Natural Spline Functions. 6. Perfect Splines. 7. Monosplines. 8. Periodic Splines. 9. Multivariate B-Splines and Truncated Powers. 10. Multivariate Spline Functions and Divided Differences. 11. Box Splines. 12. Multivariate Mean Value Interpolation. 13. Multivariate Polynomial Interpolations arising by Hyperplanes. 14. Multivariate Pointwise Interpolation. References. Index. Notation.