Explicit quantitative estimates in the overconvergence of Chebyshev and Legendre orthogonal expansions on [-1, 1]

Abstract

In this paper we obtain very explicit quantitative estimates for the overconvergence in the complex plane of the partial sums of the Fourier-type expansions on $[-1, 1]$ with respect to Chebyshev and Legendre orthogonal polynomials.