Weighted error estimates for approximation by Cesàro means of Fourier-Jacobi series in spaces of locally continuous functions

摘要

We establish sufficient conditions on the parameter θ > 0 of the Cesàro means of Fourier-Jacobi series in spaces of locally continuous functions in order to have bounded weighted norm. For θ ≥ 1, a Stechkin type error estimate for the order of convergence will also be given.