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In the papers [M. Et, H. Şengül, Filomat, 28 (2014), 1593–1602] and [H. Şengül, 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 Sα (θ)-convergent sequences and the space of strongly N β α (θ,p)-summable sequences and are given some inclusion relationships among these spaces. c ©2017 All rights reserved.

On Sαβ(θ)-convergence and strong Nαβ(θ,p)-summability