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Characterization of certain matrix classes involving generalized difference summability spaces. (English) Zbl 1195.40002

The author introduces some sequences spaces, using the difference operator, almost convergent, Cesàro summables sequences, and the lacunary summable sequences determined by a lacunary sequence in a certain way; and gives some characterizations of the matrix classes to transform the sequence space of all convergent sequences to the sequence spaces.

MSC:

40C05 Matrix methods for summability
40H05 Functional analytic methods in summability
40A05 Convergence and divergence of series and sequences
40D05 General theorems on summability
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