Error inequalities in polynomial interpolation and their applications
著者
書誌事項
Error inequalities in polynomial interpolation and their applications
（Mathematics and its applications, v. 262）
Kluwer Academic Publishers, c1993
大学図書館所蔵 件 / 全27件
-
該当する所蔵館はありません
- すべての絞り込み条件を解除する
注記
Includes bibliographical references and index
内容説明・目次
内容説明
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.
目次
1. Lidstone Interpolation. 2. Hermite Interpolation. 3. Abel-Gontscharoff Interpolation. 4. Miscellaneous Interpolation. 5. Piecewise-Polynomial Interpolation. 6. Spline Interpolation.
「Nielsen BookData」 より