On σ-conservative and boundedly σ-conservative four-dimensional matrices

Abstract

Recently, Mursaleen and Mohiuddine [M. Mursaleen, S.A. Mohiuddine, Regularly σ -conservative and σ -coercive four-dimensional matrices, Comput. Math. Appl. 56 (2008) 1580–1586] defined and characterized the regularly σ -conservative four-dimensional matrices by using the concept of regular convergence ( r -convergence) of double sequences x = ( x j k ) . In this paper, we characterize four-dimensional σ -conservative and boundedly σ -conservative matrices corresponding to the concept of p -convergence and boundedly p -convergence of double sequences, respectively.