Document Type: Regular Paper
Department of Mathematics, Aligarh Muslim University, Aligarh 202002, India
Department of Mathematics, Yarmouk University, Irbid, Jordan
Lorentz characterized the almost convergence through the concept of uniform convergence of de la
Vallée-Poussin mean. In this paper, we generalize the notion of almost convergence by using the concept of
invariant mean and the generalized de la Vallée-Poussin mean. We determine the bounded linear operators for
the generalized σ-conservative, σ-regular and σ-coercive matrices.