Open Access
2012 About Nodal Systems for Lagrange Interpolation on the Circle
E. Berriochoa, A. Cachafeiro, J. M. García Amor
J. Appl. Math. 2012: 1-11 (2012). DOI: 10.1155/2012/421340


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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E. Berriochoa. A. Cachafeiro. J. M. García Amor. "About Nodal Systems for Lagrange Interpolation on the Circle." J. Appl. Math. 2012 1 - 11, 2012.


Published: 2012
First available in Project Euclid: 14 December 2012

zbMATH: 1235.41001
MathSciNet: MR2880818
Digital Object Identifier: 10.1155/2012/421340

Rights: Copyright © 2012 Hindawi

Vol.2012 • 2012
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