Divergent Cesaro means of Fourier expansions with respect to polynomials associated with the measure

Abstract

We prove that, for certain indices of 6, there are functions whose Cesaro means of order 5 of the Fourier expansion with respect to the polynomials associated with the measure (1 - ?)?(l + ?)? + MAr, where At is the delta function at a point t, are divergent almost everywhere on [-1,1]. We follow Meaney's paper (2003), where divergent Cesaro and Riesz means of Jacobi expansions were proved. .