About nodal systems for Lagrange interpolation on the circle (Q410964)

Summary: 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.