We consider discrete versions of the de la Vallée-Poussin algebraic operator. We give a simple sufficient condition in order that such discrete operators interpolate, and in particular we study the case of the Bernstein-Szego weights. Furthermore we obtain good error estimates in the cases of the sup-norm and L 1-norm, which are critical cases for the classical Lagrange interpolation.
Some interpolating operators of de la Vallée Poussin type
Woula Themistoclakis
1999
Abstract
We consider discrete versions of the de la Vallée-Poussin algebraic operator. We give a simple sufficient condition in order that such discrete operators interpolate, and in particular we study the case of the Bernstein-Szego weights. Furthermore we obtain good error estimates in the cases of the sup-norm and L 1-norm, which are critical cases for the classical Lagrange interpolation.File in questo prodotto:
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