Error Inequalities in Polynomial Interpolation and Their Applications

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.
For mathematicians, numerical analysts, computer scientists and engineers.

List of contents

Preface. 1. Lidstone Interpolation. 2. Hermite Interpolation. 3. Abel--Gontscharoff Interpolation. 4. Miscellaneous Interpolation. 5. Piecewise--Polynomial Interpolation. 6. Spline Interpolation. Name Index.

Summary

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.

Product details

• Authors: R P Agarwal, R. P. Agarwal, Ravi Agarwal, Ravi P. Agarwal, Patricia J y Wong, Patricia J. Y. Wong, Patricia J.Y. Wong
• Publisher: Springer Netherlands
• Languages: English
• Product format: Hardback
• Released: 30.06.1993
• EAN: 9780792323372
• ISBN: 978-0-7923-2337-2
• No. of pages: 366
• Dimensions: 155 mm x 24 mm x 235 mm
• Weight: 710 g
• Illustrations: X, 366 p.
• Series: Mathematics and Its Applications
• Subject: Natural sciences, medicine, IT, technology > Mathematics