Pointwise simultaneous convergence of extended Lagrange interpolation with additional knots

Authors:
Giuliana Criscuolo, Giuseppe Mastroianni and Péter Vértesi

Journal:
Math. Comp. **59** (1992), 515-531

MSC:
Primary 41A05; Secondary 65D05

DOI:
https://doi.org/10.1090/S0025-5718-1992-1134723-X

MathSciNet review:
1134723

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Abstract: In numerical analysis it is important to construct interpolating polynomials approximating a given function and its derivatives simultaneously. The authors define some new good interpolating matrices with "many" nodes close to the endpoints of the interval and also give error estimates.

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DOI:
https://doi.org/10.1090/S0025-5718-1992-1134723-X

Article copyright:
© Copyright 1992
American Mathematical Society