Error Inequalities in Polynomial Interpolation and Their Applications: v. 262 - Rilegato

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

 
9780792323372: Error Inequalities in Polynomial Interpolation and Their Applications: v. 262

Sinossi

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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Contenuti

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

Product Description

Book by Agarwal RP Wong Patricia JY

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Altre edizioni note dello stesso titolo

9789401048965: Error Inequalities in Polynomial Interpolation and Their Applications: 262

Edizione in evidenza

ISBN 10:  9401048967 ISBN 13:  9789401048965
Casa editrice: Springer, 2012
Brossura