Universal approximation by regular weighted means
In this paper we shall improve upon the results by \textit{K. Faulstich}, \textit{W. Luh} and \textit{L. Tomm} [Manuscr. Math. 36, 309-321 (1981; Zbl 0479.30023)] by (i) considering power series representing other meromorphic functions f, (ii) using a regular weighted means method D to obtain the overconvergence property and (iii) showing that D has a universal property with respect to analytic continuation i.e. for every simply connected region G which contains the open disc of convergence of the Maclaurin series of f but no pole of f, there is a subsequence of the D-transform of the nth partial sums of the Maclaurin series of f that converges to f uniformly on compact subsets of G.
scientific article; zbMATH DE number 3979444