Ebook: Error Inequalities in Polynomial Interpolation and Their Applications

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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Content:
Front Matter....Pages i-x
Lidstone Interpolation....Pages 1-61
Hermite Interpolation....Pages 62-171
Abel — Gontscharoff Interpolation....Pages 172-191
Miscellaneous Interpolation....Pages 192-216
Piecewise — Polynomial Interpolation....Pages 217-280
Spline Interpolation....Pages 281-362
Back Matter....Pages 363-366

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Content:
Front Matter....Pages i-x
Lidstone Interpolation....Pages 1-61
Hermite Interpolation....Pages 62-171
Abel — Gontscharoff Interpolation....Pages 172-191
Miscellaneous Interpolation....Pages 192-216
Piecewise — Polynomial Interpolation....Pages 217-280
Spline Interpolation....Pages 281-362
Back Matter....Pages 363-366
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