Error Inequalities in Polynomial Interpolation and Their Applications - Couverture rigide

Agarwal, Ravi P.; Wong, Patricia J. Y.

 
9780792323372: Error Inequalities in Polynomial Interpolation and Their Applications

Synopsis

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

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Présentation de l'éditeur

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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Autres éditions populaires du même titre

9789401048965: Error Inequalities in Polynomial Interpolation and Their Applications

Edition présentée

ISBN 10 :  9401048967 ISBN 13 :  9789401048965
Editeur : Springer, 2012
Couverture souple