نشریه علوم ریاضی و انفورماتیک

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Tabassum S, Fatma R. A Study of Metric Spaces of Interval Numbers in n-Sequences Defined by Orlicz Function. IJMSI 2024; 19 (1) :71-83
URL: http://ijmsi.ir/article-1-1717-fa.html

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,...,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.