About nodal systems for Lagrange Interpolation on the circle
UNIVERSAL IDENTIFIER: http://hdl.handle.net/11093/699
DOCUMENT TYPE: article
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.
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