On approximation of functions and their derivatives by quasi-Hermite interpolation

G. Min

International Journal of Mathematics and Mathematical Sciences, 1996, vol. 19, 1-8

Abstract:

In this paper, we consider the simultaneous approximation of the derivatives of the functions by the corresponding derivatives of quasi-Hermite interpolation based on the zeros of ( 1 − x 2 ) p n ( x ) (where p n ( x ) is a Legendre polynomial). The corresponding approximation degrees are given. It is shown that this matrix of nodes is almost optimal.

Date: 1996
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:357657

DOI: 10.1155/S0161171296000385

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