Error Inequalities in Polynomial Interpolation and Their Applications
Seiten
1993
Kluwer Academic Publishers (Verlag)
978-0-7923-2337-2 (ISBN)
Kluwer Academic Publishers (Verlag)
978-0-7923-2337-2 (ISBN)
Presenting the cumulation of the authors' research in the field, this volume deals with Lidstone, Hermite, Abel-Gontscharoff, Birkhoff, piecewise Hermite and Lidstone, spline and Lidstone-spline interpolating problems. It is intended for mathematicians, numerical analysts, computer scientists and engineers.
This volume, which presents the cumulation of the authors' research in the field, deals with Lidstone, Hermite, Abel-Gontscharoff, Birkhoff, piecewise Hermite and Lidstone, spline and Lidstone-spline interpolating problems. Explicit representations of the interpolating polynomials and associated error functions are given, as well as explicit error inequalities in various norms. Numerical illustrations are provided of the importance and sharpness of the various results obtained. Also demonstrated are the significance of these results in the theory of ordinary differential equations such as maximum principles, boundary value problems, oscillation theory, disconjugacy and disfocality. This book is intended for mathematicians, numerical analysts, computer scientists and engineers.
This volume, which presents the cumulation of the authors' research in the field, deals with Lidstone, Hermite, Abel-Gontscharoff, Birkhoff, piecewise Hermite and Lidstone, spline and Lidstone-spline interpolating problems. Explicit representations of the interpolating polynomials and associated error functions are given, as well as explicit error inequalities in various norms. Numerical illustrations are provided of the importance and sharpness of the various results obtained. Also demonstrated are the significance of these results in the theory of ordinary differential equations such as maximum principles, boundary value problems, oscillation theory, disconjugacy and disfocality. This book is intended for mathematicians, numerical analysts, computer scientists and engineers.
1. Lidstone Interpolation. 2. Hermite Interpolation. 3. Abel-Gontscharoff Interpolation. 4. Miscellaneous Interpolation. 5. Piecewise-Polynomial Interpolation. 6. Spline Interpolation.
Erscheint lt. Verlag | 30.6.1993 |
---|---|
Reihe/Serie | Mathematics and its Applications ; v. 262 |
Zusatzinfo | 1 illustration |
Sprache | englisch |
Maße | 156 x 234 mm |
Gewicht | 710 g |
Einbandart | gebunden |
Themenwelt | Mathematik / Informatik ► Mathematik ► Allgemeines / Lexika |
Mathematik / Informatik ► Mathematik ► Analysis | |
ISBN-10 | 0-7923-2337-8 / 0792323378 |
ISBN-13 | 978-0-7923-2337-2 / 9780792323372 |
Zustand | Neuware |
Haben Sie eine Frage zum Produkt? |
Mehr entdecken
aus dem Bereich
aus dem Bereich
ein Übungsbuch für Fachhochschulen
Buch | Hardcover (2023)
Carl Hanser (Verlag)
16,99 €