Approximation in compact sets by q-Stancu–Faber polynomials, q>1

Abstract

Order of approximation a b s t r a c tWe prove that the q-Stancu-Faber polynomials, q > 1, attached to a compact set G ⊂ C and to an analytic function on G, can represent good alternatives to the partial sums of the Faber series attached to the same function and subset, both giving the geometric progression order of approximation q −n .