About Nodal Systems for Lagrange Interpolation on the Circle

E. Berriochoa, A. Cachafeiro and J. M. García Amor

Journal of Applied Mathematics, 2012, vol. 2012, 1-11

Abstract:

We study the convergence of the Laurent polynomials of Lagrange interpolation on the unit circle for continuous functions satisfying a condition about their modulus of continuity. The novelty of the result is that now the nodal systems are more general than those constituted by the n roots of complex unimodular numbers and the class of functions is different from the usually studied. Moreover, some consequences for the Lagrange interpolation on [ - 1,1 ] and the Lagrange trigonometric interpolation are obtained.

Date: 2012
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnljam:421340

DOI: 10.1155/2012/421340

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