Şevli, HamdullahSavaş, Ekrem2015-09-142015-09-1420091303-5495https://hdl.handle.net/11467/1185http://dx.doi.org/10.1155/2009/279421Denote by A(k) the sequence space defined by A(k) = {(s(n)) : Sigma(infinity)(n=1) n(k-1)vertical bar a(n)vertical bar(k) < infinity, a(n) = s(n) - s(n-1)} for k >= 1. In a recent paper by E. Savas, and H. Sevli (2007), they proved every Cesaro matrix of order alpha, for alpha > - 1, (C, alpha) is an element of B(A(k)) for k >= 1. In this paper, we consider a further extension of absolute Cesaro summability. Copyright (C) 2009 H. Sevli and E. Savas.eninfo:eu-repo/semantics/openAccessArticle17Q2WOS:000270605900001N/A2-s2.0-7034920573710.1155/2009/279421