On a subclass of C 1 functions for which the Lagrange interpolation yields the Jackson order of approximation

Xin Li

International Journal of Mathematics and Mathematical Sciences, 1994, vol. 17, 1-8

Abstract:

We continue the investigation initiated by Mastroianni and Szabados on question whether Jackson's order of approximation can be attained by Lagrange interpolation for a wide class of functions. Improving a recent result of Mastroianni and Szabados, we show that for a subclass of C 1 functions the local order of approximation given by Lagrange interpolation can be much better (of at least O ( 1 n ) ) than Jackson's order.

Date: 1994
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:674807

DOI: 10.1155/S0161171294000323

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