Birkhoff Interpolation

G. G. Lorentz, K. Jetter, S. D. Riemenschneider (Autoren)

Buch | Softcover

296 Seiten

2009
Cambridge University Press (Verlag)
978-0-521-10404-3 (ISBN)

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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. It presents all the basic material known at the present time in a unified manner. Topics discussed include; applications of Birkhoff interpolation to approximation theory, quadrature formulas and Chebyshev systems; lacunary interpolation at special knots and an introduction to the theory of Birkhoff interpolation by splines.

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.

Erscheint lt. Verlag	19.3.2009
Reihe/Serie	Encyclopedia of Mathematics and its Applications
Zusatzinfo	Worked examples or Exercises
Verlagsort	Cambridge
Sprache	englisch
Maße	152 x 229 mm
Gewicht	440 g
Themenwelt	Mathematik / Informatik ► Mathematik ► Analysis
ISBN-10	0-521-10404-1 / 0521104041
ISBN-13	978-0-521-10404-3 / 9780521104043
Zustand	Neuware