Interpolation
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Interpolation
Author: J. F. Steffensen
language: en
Publisher: Courier Corporation
Release Date: 2013-11-07
In the mathematical subfield of numerical analysis, interpolation is a procedure that assists in "reading between the lines." Topics include displacement symbols and differences, divided differences, formulas of interpolation, much more. 1950 edition.
Error Inequalities in Polynomial Interpolation and Their Applications
Author: Ravi P. Agarwal
language: en
Publisher: Springer Science & Business Media
Release Date: 1993
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. The book should be useful for mathematicians, numerical analysts, computer scientists and engineers.