Summability factors between the absolute Cesàro methods

If Σ ???? is summable by the method ? whenever Σ ?? is summable by the method ?, then we say that the factor ? = (??) is of type (?, ?) and denote by (?, ?). In this study we characterize the sets (|?, ?|?, |?, −1|) , ? > 1 and (|?, −1|, |?, ?|?) , ? ≥ 1 for ? > −1. Also, in the special case, we give some inclusion relations between methods, which completes some open problems in literature.

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