Abstract
Recently, Mursaleen and Mohiuddine [M. Mursaleen, S.A. Mohiuddine, Regularly sigma-conservative and sigma-coercive four-dimensional matrices, Comput. Math. Appl. 56 (2008) 1580-1586] defined and characterized the regularly sigma-conservative four-dimensional matrices by using the concept of regular convergence (r-convergence) of double sequences x = (x(jk)). In this paper, we characterize four-dimensional sigma-conservative and boundedly sigma-conservative matrices corresponding to the concept of p-convergence and boundedly p-convergence of double sequences, respectively. (C) 2009 Elsevier Ltd. All rights reserved.