Spline Functions and Multivariate Interpolations
Author:   Borislav D. Bojanov ,  H. Hakopian ,  B. Sahakian
Publisher:   Springer
Edition:   1993 ed.
Volume:   248
ISBN:  

9780792322290


Pages:   278
Publication Date:   31 March 1993
Format:   Hardback
Availability:   In Print   Availability explained
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Spline Functions and Multivariate Interpolations


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Overview

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.

Full Product Details

Author:   Borislav D. Bojanov ,  H. Hakopian ,  B. Sahakian
Publisher:   Springer
Imprint:   Springer
Edition:   1993 ed.
Volume:   248
Dimensions:   Width: 15.60cm , Height: 1.70cm , Length: 23.40cm
Weight:   1.300kg
ISBN:  

9780792322290


ISBN 10:   0792322290
Pages:   278
Publication Date:   31 March 1993
Audience:   College/higher education ,  Professional and scholarly ,  Postgraduate, Research & Scholarly ,  Professional & Vocational
Format:   Hardback
Publisher's Status:   Active
Availability:   In Print   Availability explained
This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us.

Table of Contents

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.- Notation.

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