Pointwise simultaneous convergence of extended Lagrange interpolation with additional knots

Criscuolo, Giuliana; Mastroianni, Giuseppe; Vértesi, Péter

doi:10.1090/S0025-5718-1992-1134723-X

Pointwise simultaneous convergence of extended Lagrange interpolation with additional knots
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by Giuliana Criscuolo, Giuseppe Mastroianni and Péter Vértesi PDF

Math. Comp. 59 (1992), 515-531 Request permission

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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