Mathematics of Computation

ISSN 1088-6842(online) ISSN 0025-5718(print)

 

 

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
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: http://dx.doi.org/10.1090/S0025-5718-1992-1134723-X
Article copyright: © Copyright 1992 American Mathematical Society