Orlicz-lacunary convergent triple sequences and ideal convergence

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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