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Tabassum, Sabiha; Fatma, Ruqaiyya

A study of metric spaces of interval numbers in \(n\)-sequences defined by Orlicz function. (English) Zbl 07880379

Iran. J. Math. Sci. Inform. 19, No. 1, 71-83 (2024).
Summary: In recent years, a variety of work has been done in the field of single, double and triple sequences. Study on \(n\)-tuple sequence is new in this field. The main interest of this paper is to explore the idea of \(n\)-tuple sequences \(x = (x_{i_1,i_2,\dots,i_n})\) in metric spaces. We introduce the concept of \(n\)-sequence space of interval number and discussed its arithmetic properties. Furthermore, we combined the concept of Orlicz function, statistical convergence, interval number and \(n\)-sequence to construct some new nsequence spaces and discussed their properties. Some suitable examples for these spaces have been constructed.

Cited in 1 Document

MSC:

40B05 Multiple sequences and series
40A35 Ideal and statistical convergence
54A20 Convergence in general topology (sequences, filters, limits, convergence spaces, nets, etc.)

Keywords:

\(n\)-sequence; statistical convergence; interval number; Orlicz function
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References:

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