Error inequalities in polynomial interpolation and their applications
Author(s)
Bibliographic Information
Error inequalities in polynomial interpolation and their applications
（Mathematics and its applications, v. 262）
Kluwer Academic Publishers, c1993
Available at / 27 libraries
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Hokkaido University, Library, Graduate School of Science, Faculty of Science and School of Science図書
dc20:511/ag152070286894
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Note
Includes bibliographical references and index
Description and Table of Contents
Description
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.
Table of Contents
1. Lidstone Interpolation. 2. Hermite Interpolation. 3. Abel-Gontscharoff Interpolation. 4. Miscellaneous Interpolation. 5. Piecewise-Polynomial Interpolation. 6. Spline Interpolation.
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