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Almost conservative four-dimensional matrices through de la Vallée-Poussin mean. (English) Zbl 07022344
Summary: The purpose of this paper is to generalize the concept of almost convergence for double sequence through the notion of de la Vallée-Poussin mean for double sequences. We also define and characterize the generalized regularly almost conservative and almost coercive four-dimensional matrices. Further, we characterize the infinite matrices which transform the sequence belonging to the space of absolutely convergent double series into the space of generalized almost convergence.

MSC:
 40A05 Convergence and divergence of series and sequences
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References:
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