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Book synopsis

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.

Book details

Book category Knihy po anglicky Mathematics & science Mathematics Calculus & mathematical analysis

• Full title: Spline Functions and Multivariate Interpolations
• Author: Borislav D. Bojanov, H. Hakopian, B. Sahakian
• Language: English
• Binding: Paperback
• Number of pages: 278
• EAN: 9789048142590
• ISBN: 9048142598
• ID: 01973335
• Publisher: Springer
• Weight: 450 g
• Dimensions: 240 × 160 × 16 mm
• Date of publishing: 08. December 2010

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