ORLICZ-LACUNARY CONVERGENT TRIPLE SEQUENCES AND IDEAL CONVERGENCE

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KİŞİ Ö., GÜRDAL M.

COMMUNICATIONS FACULTY OF SCIENCES UNIVERSITY OF ANKARA-SERIES A1 MATHEMATICS AND STATISTICS, vol.71, no.2, pp.581-600, 2022 (ESCI)

• Publication Type: Article / Article
• Volume: 71 Issue: 2
• Publication Date: 2022
• Doi Number: 10.31801/cfsuasmas.1027662
• Journal Name: COMMUNICATIONS FACULTY OF SCIENCES UNIVERSITY OF ANKARA-SERIES A1 MATHEMATICS AND STATISTICS
• Journal Indexes: Emerging Sources Citation Index (ESCI), TR DİZİN (ULAKBİM)
• Page Numbers: pp.581-600
• Keywords: Strongly almost convergence, almost convergence, n-norm, g(3)-ideal convergence, lacunary sequence, Musielak-Orlicz function, WEIGHTED STATISTICAL CONVERGENCE, INFINITE MATRICES, APPROXIMATION, KOROVKIN
• Süleyman Demirel University Affiliated: Yes

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.