ALMOST CONVERGENCE THROUGH THE GENERALIZED DE LA VALLÉE-POUSSIN MEAN

Document Type: Regular Paper

Authors

1 Department of Mathematics, Aligarh Muslim University, Aligarh 202002, India

2 Department of Mathematics, Yarmouk University, Irbid, Jordan

Abstract

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.

Keywords