On the (C, 1) summability method of improper integrals

In this paper we prove a Tauberian-like theorem to retrieve the slow oscillation of a real-valued function s(x) from its (C, 1) summability of the generator sequence v(x) and one-sidedly boundedness of the general control modulo of integer order m >= 1 with respect to a function satisfying an appropriate condition. (c) 2013 Elsevier Inc. All rights reserved.