Fejér-Rogosinski theorem for the Neil algebra
arXiv:2609.17114
Abstract
Partial sums of the Taylor expansions of functions from the Neil algebra are uniformly bounded by their uniform norms on the ball of radius centered at the origin, where denotes the unique real root of \[ 4x^3 + x - 2 = 0. \] Moreover, this radius is optimal.
arXiv comment9 pages