Fourier Series of Gegenbauer-Sobolev Polynomials

Abstract

We study the partial sum operator for a Sobolev-type inner product related to the classical Gegenbauer polynomials. A complete characterization of the partial sum operator in an appropriate Sobolev space is given. Moreover, we analyze the convergence of the partial sum operators.

References in corpus (1)

• On Sobolev orthogonal polynomials