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About nodal systems for Lagrange Interpolation on the circle

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About nodal systems for Lagrange Interpolation on the circle

Berriochoa Esnaola, Elias Manuel Maria; Cachafeiro López, María Alicia; Garcia Amor, Jose Manuel
 
DATE : 2012
UNIVERSAL IDENTIFIER : http://hdl.handle.net/11093/699
DOCUMENT TYPE : article

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.

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