On strong N_{θ}^{α}(A,F)-convergence

Abstract

In the papers [T. Bilgin, Studia Univ. Babeş-Bolyai Math. 46(4), (2001), 39--46] and [T. Bilgin, Appl. Math. Comput. 151(3), (2004), 595--600], author defined the spaces of strongly N_{θ}(A,f)-convergent with respect to a modulus sequences and strongly N_{θ}(A,F)-convergent with respect to a sequence of modulus functions sequences. In this paper, we introduce strong N_{θ}^{α}(A,F)-convergence with respect to a sequence of modulus functions and give some connections between sets of strongly N_{θ}^{α}(A,F)-convergent with respect to a sequence of modulus functions sequences and S_{θ}^{α}(A)-convergent sequences.