Sinossi
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.
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Contenuti
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.
Product Description
Book by Bojanov Borislav D Hakopian H Sahakian B
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Spline Functions and Multivariate Interpolations (Mathematics and Its Applications (closed))
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Springer 01.05.1993., 1993
ISBN 10: 0792322290
ISBN 13: 9780792322290
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Condizione: Sehr gut. Auflage: 1993. 278 Seiten ex Library Book aus einer wissenschafltichen Bibliothek Sprache: Englisch Gewicht in Gramm: 469 23,9 x 16,3 x 2,3 cm, Gebundene Ausgabe. Codice articolo 336035
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Spline Functions and Multivariate Interpolations
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Buch. Condizione: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -Spline functions entered Approximation Theory as solutions of natural extremal problems. A typical example is the problem of drawing a function curve through given n + k points that has a minimal norm of its k-th derivative. Isolated facts about the functions, now called splines, can be found in the papers of L. Euler, A. Lebesgue, G. Birkhoff, J. Favard, L. Tschakaloff. However, the Theory of Spline Functions has developed in the last 30 years by the effort of dozens of mathematicians. Recent fundamental results on multivariate polynomial interpolation and multivari ate splines have initiated a new wave of theoretical investigations and variety of applications. The purpose of this book is to introduce the reader to the theory of spline functions. The emphasis is given to some new developments, such as the general Birkoff's type interpolation, the extremal properties of the splines and their prominant role in the optimal recovery of functions, multivariate interpolation by polynomials and splines. The material presented is based on the lectures of the authors, given to the students at the University of Sofia and Yerevan University during the last 10 years. Some more elementary results are left as excercises and detailed hints are given. 292 pp. Englisch. Codice articolo 9780792322290
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Gebunden. Condizione: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Spline functions entered Approximation Theory as solutions of natural extremal problems. A typical example is the problem of drawing a function curve through given n + k points that has a minimal norm of its k-th derivative. Isolated facts about the functio. Codice articolo 5966773
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Condizione: New. 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 role in the optimal recovery of functions, and multivariate interpolation by polynomials and splines. Series: Mathematics and its Applications. Num Pages: 278 pages, biography. BIC Classification: PBC; PBKF. Category: (P) Professional & Vocational; (UP) Postgraduate, Research & Scholarly. Dimension: 234 x 156 x 17. Weight in Grams: 586. . 1993. Hardback. . . . . Codice articolo V9780792322290
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Buch. Condizione: Neu. This item is printed on demand - Print on Demand Titel. Neuware -Spline functions entered Approximation Theory as solutions of natural extremal problems. A typical example is the problem of drawing a function curve through given n + k points that has a minimal norm of its k-th derivative. Isolated facts about the functions, now called splines, can be found in the papers of L. Euler, A. Lebesgue, G. Birkhoff, J. Favard, L. Tschakaloff. However, the Theory of Spline Functions has developed in the last 30 years by the effort of dozens of mathematicians. Recent fundamental results on multivariate polynomial interpolation and multivari ate splines have initiated a new wave of theoretical investigations and variety of applications. The purpose of this book is to introduce the reader to the theory of spline functions. The emphasis is given to some new developments, such as the general Birkoff's type interpolation, the extremal properties of the splines and their prominant role in the optimal recovery of functions, multivariate interpolation by polynomials and splines. The material presented is based on the lectures of the authors, given to the students at the University of Sofia and Yerevan University during the last 10 years. Some more elementary results are left as excercises and detailed hints are given.Springer-Verlag KG, Sachsenplatz 4-6, 1201 Wien 292 pp. Englisch. Codice articolo 9780792322290
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Condizione: New. 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 role in the optimal recovery of functions, and multivariate interpolation by polynomials and splines. Series: Mathematics and its Applications. Num Pages: 278 pages, biography. BIC Classification: PBC; PBKF. Category: (P) Professional & Vocational; (UP) Postgraduate, Research & Scholarly. Dimension: 234 x 156 x 17. Weight in Grams: 586. . 1993. Hardback. . . . . Books ship from the US and Ireland. Codice articolo V9780792322290
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Buch. Condizione: Neu. Druck auf Anfrage Neuware - Printed after ordering - Spline functions entered Approximation Theory as solutions of natural extremal problems. A typical example is the problem of drawing a function curve through given n + k points that has a minimal norm of its k-th derivative. Isolated facts about the functions, now called splines, can be found in the papers of L. Euler, A. Lebesgue, G. Birkhoff, J. Favard, L. Tschakaloff. However, the Theory of Spline Functions has developed in the last 30 years by the effort of dozens of mathematicians. Recent fundamental results on multivariate polynomial interpolation and multivari ate splines have initiated a new wave of theoretical investigations and variety of applications. The purpose of this book is to introduce the reader to the theory of spline functions. The emphasis is given to some new developments, such as the general Birkoff's type interpolation, the extremal properties of the splines and their prominant role in the optimal recovery of functions, multivariate interpolation by polynomials and splines. The material presented is based on the lectures of the authors, given to the students at the University of Sofia and Yerevan University during the last 10 years. Some more elementary results are left as excercises and detailed hints are given. Codice articolo 9780792322290
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