Birkhoff Interpolation

Klappentext This reference book provides the main definitions! theorems and techniques in the theory of Birkhoff interpolation by polynomials. Zusammenfassung This reference book provides the main definitions! theorems and techniques in the theory of Birkhoff interpolation by polynomials. The book begins with an article by G. G. Lorentz that discusses some of the important developments in approximation and interpolation in the last twenty years. Inhaltsverzeichnis 1. Basic definitions and properties; 2. Further elementary theorems; 3. Coalescence of rows; 4. Applications of coalescence; 5. Rolle extensions and independent sets of knots; 6. Singular matrices; 7. Zeros of Birkhoff splines; 8. Almost-Hermitian matrices; special three-row matrices; 9. Applications; 10. Birkhoff quadrature formulas; 11. Interpolation at the roots of unity; 12. Turan's problem of interpolation; 13. Birkhoff interpolation by splines; 14. Regularity theorems and self-dual problems; Bibliography and references; Indexes.

Product details

• Authors: K. Jetter, G. G. Lorentz, G. G. Jetter Lorentz, George G. Lorentz, S. D. Riemenschneider
• Publisher: Cambridge University Press ELT
• Languages: English
• Product format: Paperback / Softback
• Released: 19.03.2009
• EAN: 9780521104043
• ISBN: 978-0-521-10404-3
• No. of pages: 296
• Series: Encyclopedia of Mathematics an
• Subject: Natural sciences, medicine, IT, technology > Mathematics > Probability theory, stochastic theory, mathematical statistics