Orlicz-lacunary convergent triple sequences and ideal convergence

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Communications Faculty of Sciences University Ankara Series A1 Mathematics and Statistics
Volume:71 Issue:2
Orlicz-lacunary convergent triple sequences and ideal convergence

Orlicz-lacunary convergent triple sequences and ideal convergence

Authors : Ömer KİŞİ, Mehmet GÜRDAL

Pages : 581-600

Doi:10.31801/cfsuasmas.1027662

View : 14 | Download : 11

Publication Date : 2022-06-30

Article Type : Research Paper

Abstract :In the present paper we introduce and study Orlicz lacunary convergent triple sequences over n-normed spaces. We make an effort to present the notion of $g_{3}$-ideal convergence in triple sequence spaces. We examine some topological and algebraic features of new formed sequence spaces. Some inclusion relations are obtained in this paper. Finally, we investigate ideal convergence in these spaces.
Keywords : Strongly almost convergence, almost convergence, n norm, g3 ideal convergence, lacunary sequence, Musielak Orlicz function

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