On strong N_{θ}^{α}(A,F)-convergence

Year 2019, Volume: 68 Issue: 2, 1629 - 1637, 01.08.2019

Hacer Şengül , Zelal Arıca

https://doi.org/10.31801/cfsuasmas.546616

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.

Keywords

Modulus function , statistical convergence , lacunary sequence

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