Some new factor theorems for generalized absolute Cesàro summability.

In the present paper, we introduce a new generalized absolute summability method and some new definitions on classes of pairs of sequences. By using these new definitions, we generalize the result of Bor (Math Commun 13:21-25, ) dealing with $$\left| C,\alpha ,\gamma ;\beta \right| _{k}$$ summability factors of infinite series. [ABSTRACT FROM AUTHOR]