engleski

On almost regular convergence

Regular convergence of multiple sequences, introduced by G.H.Hardy and F.Moricz, can be generalized to almost convergent sequences in various ways. In the paper classes of almost convergent double sequences with a kind of uniform regularity are studied. These classes are in some respects similar to the class of regular sequences. Matrices, which convert such sequences to bounded and convergent double sequences are characterized. The results extend results obtained by F.Moritz and B.E.Rhoades for strongly regular matrices.

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