Statistical convergence of complex uncertain sequence of order $(\alpha, \beta)$

Mausumi Sen, Dhiman Dutta, Sagar Ghosh, Binod Chandra Tripathy

Abstract


In this paper, the concept of asymptomatic density of order $(\alpha, \beta)$ (where $\alpha$, $\beta$ are real numbers such that $0 < \alpha < \beta \leq 1)$ has been used to introduce the concepts of statistical convergence of order $(\alpha, \beta)$ for complex uncertain sequences: the notions of statistical convergence in mean of order $(\alpha, \beta)$, statistical convergence in measure of order $(\alpha, \beta)$, statistical convergence in distribution of order $(\alpha, \beta)$, almost surely statistical convergence of order $(\alpha, \beta)$, uniformly almost surely statistical convergence of order $(\alpha, \beta)$ for complex uncertain sequences. Also, relationships among those introduced concepts have been studied.

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References


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DOI: https://doi.org/10.52846/ami.v52i1.1908