Abstract :
In the papers [M. Et, H. Sengul, Filomat, 28 (2014), 1593–1602] and [H. Sengul, M. Et, Acta Math. Sci. Ser. B Engl. Ed., 34 (2014), 473–482], we defined the spaces of Sα (θ)-convergent and strongly Nα (θ, p)-summable sequences. In this paper these spaces are generalized to the space of S β_α (θ)-convergent sequences and the space of strongly N β_α (θ, p)-summable sequences and are given some inclusion relationships among these spaces.