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

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  • Xin Li

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.

Suggested Citation

  • Xin Li, 1994. "On a subclass of C 1 functions for which the Lagrange interpolation yields the Jackson order of approximation," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 17, pages 1-8, January.
    • Handle: RePEc:hin:jijmms:674807
    DOI: 10.1155/S0161171294000323
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