A theorem on the Cesaro summability method
In this paper we retrieve the backward Cesaro convergence of a real sequence u = (u(n)) from the Cesaro summability of the general control modulo of the oscillatory behavior of integer order m of (u(n)) under certain conditions. (C) 2010 Elsevier Ltd. All rights reserved.
cesaro summability general control modulo slow oscillation tauberian theorems subsequence convergence