Title: Error Inequalities in Polynomial Interpolation and their Applications (Mathematics and Its Applications)
Publisher: Springer
Publication Date: 1993
Language: English
ISBN 10: 0792323378
ISBN 13: 9780792323372
Binding: Hardcover
Condition: New

About this title

Synopsis

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.

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