Rational Approximation of Real Functions

ISBN-13: 9780521331074 / Angielski / Twarda / 1988 / 384 str.

P. P. Petrushev; Penco Petrov Petrushev; Vasil Atanasov Popov

Opis

Originally published in 1987, this book is devoted to the approximation of real functions by real rational functions.

Spis treści

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.