On strong N_{θ}^{α}(A,F)-convergence

Authors : Hacer ŞENGÜL, Zelal ARICA

Pages : 1629-1637

Doi:10.31801/cfsuasmas.546616

View : 13 | Download : 6

Publication Date : 2019-08-01

Article Type : Research Paper

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