ON STRONG Nθα (A, F)–CONVERGENCE.

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 Nθ(A,f)–convergent with respect to a modulus sequences and strongly Nθ(A,f)-convergent with respect to a sequence of modulus functions sequences. In this paper, we introduce strong Nθα(A,f)–convergence with respect to a sequence of modulus functions and give some connections between sets of strongly Nθα(A,f)–convergent with respect to a sequence of modulus functions sequences and Sθα(A)–convergent sequences. [ABSTRACT FROM AUTHOR]