An Extension of a Result of Rivlin on Walsh Equiconvergence (Faber Nodes)
We continue our investigations of generalizations of Walsh’s equiconvergence theorem. The setting is a compact set E of the complex plane, whose complement is simply connected in the extended complex plane, and the Faber polynomials associated with E. Here, we study equiconvergence phenomena for differences of interpolating polynomials, defined by Lagrange (and Hermite) interpolants in zeros of associated Faber polynomials.
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