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Spline Functions and Multivariate Interpolations

Name: Spline Functions and Multivariate Interpolations
Brand: Springer
SKU: 01973335
Price: 39416 HUF
Availability: InStock
Author: Borislav D. Bojanov
ISBN: 9789048142590

Borislav D. Bojanov

H. Hakopian

B. Sahakian

Language

English

Book Paperback

Libristo code: 01973335

Publishers Springer, December 2010

This volume provides a comprehensive introduction to the theory of spline functions. Emphasis is giv... Full description

Libristo code: 01973335

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39 416 Ft

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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.