Rational Approximation of Real Functions - Brossura

Petrushev, P. P.

Brossura

ISBN 10: 0521177405 ISBN 13: 9780521177405

Casa editrice: Cambridge University Press, 2011

Riassunto

Originally published in 1987, this book is devoted to the approximation of real functions by real rational functions. These are, in many ways, a more convenient tool than polynomials, and interest in them was growing, especially since D. Newman's work in the mid-sixties. The authors aim at presenting the basic achievements of the subject and, for completeness, also discuss some topics from complex rational approximation. Certain classical and modern results from linear approximation theory and spline approximation are also included for comparative purposes. This book will be of value to anyone with an interest in approximation theory and numerical analysis.

Su questo libro

Descrizione del libro

This 1987 book examines the approximation of real functions by real rational functions. These are a more convenient tool than polynomials, and interest in them was growing, especially after D. Newman's work in the mid-sixties. The authors present the basic achievements of the subject and also discuss some topics from complex rational approximation.

Contenuti

Preface; 1. Qualitative theory of linear approximation; 2. Qualitative theory of the best rational approximation; 3. Some classical results in the linear theory; 4. Approximation of some important functions; 5. Uniform approximation of some function classes; 6. Converse theorems for rational approximation; 7. Spline approximation and Besov spaces; 8. Relations between rational and spline approximations; 9. Approximation with respect to Hausdorff distance; 10. The o-effect; 11. Lower bounds; 12. Padé approximations; Appendix; References; Author index; Notation and subject index.

Dettagli dell?edizione

• Editore: Cambridge University Press
• Data di pubblicazione: 2011
• ISBN 10: 0521177405
• ISBN 13: 9780521177405
• Rilegatura: Copertina flessibile
• Lingua: Inglese
• Numero di pagine: 384