Generalized statistically pre-Cauchy triple sequences via Orlicz functions
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Authors
Mualla Birgul Huban
- Isparta University of Applied Sciences, Isparta, Turkey.
Abstract
In this study, we tried to construct \(\mathcal{I}\)-statistically pre-Cauchy on triple sequences via Orlicz functions \(\widetilde{\phi}\). We prove that for triple sequences, \(\mathcal{I}\)-statistical \(\widetilde{\phi}\)-convergence implies \(\mathcal{I}\)-statistical pre-Cauchy condition and examine some main properties of these concepts.
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ISRP Style
Mualla Birgul Huban, Generalized statistically pre-Cauchy triple sequences via Orlicz functions, Journal of Nonlinear Sciences and Applications, 14 (2021), no. 6, 414--422
AMA Style
Huban Mualla Birgul, Generalized statistically pre-Cauchy triple sequences via Orlicz functions. J. Nonlinear Sci. Appl. (2021); 14(6):414--422
Chicago/Turabian Style
Huban, Mualla Birgul. "Generalized statistically pre-Cauchy triple sequences via Orlicz functions." Journal of Nonlinear Sciences and Applications, 14, no. 6 (2021): 414--422
Keywords
- \(\mathcal{I}\)-statistical convergence
- \(\mathcal{I}\)-statistical pre-Cauchy
- triple sequences
- Orlicz function
MSC
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