Error Inequalities in Polynomial Interpolation and Their Applications: v. 262 (Mathematics and its Applications) - Hardcover

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

 
9780792323372: Error Inequalities in Polynomial Interpolation and Their Applications: v. 262 (Mathematics and its Applications)

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. This book is intended for mathematicians, numerical analysts, computer scientists and engineers.

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Other Popular Editions of the Same Title

9789401048965: Error Inequalities in Polynomial Interpolation and Their Applications: 262 (Mathematics and Its Applications, 262)

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ISBN 10:  9401048967 ISBN 13:  9789401048965
Publisher: Springer, 2012
Softcover