On $\rho -$Statistical Convergence of Interval Numbers

Abstract

With the definition of interval numbers in 1951, studies such as comparing these numbers and examining the arithmetic operations that can be performed with these numbers have attracted considerable interest. These studies continued with studies investigating the properties of interval number sequence spaces and whether interval number sequences satisfy convergence conditions such as classical convergence and statistical convergence. At the same time, it is quite common to examine the concept of statistical convergence from different perspectives using different sequences. In this context, we investigate $\rho -$statistical convergence of interval numbers, we give our main definitions and prove some inclusion theorems in this paper.

Keywords

• interval numbers.
• Statistical Convergence
• ρ-statistical convergence

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