Wijsman Deferred Invariant Statistical and Strong $p$-Deferred Invariant Equivalence of Order $\alpha$

Abstract

With this work, we present the asymptotical strongly $p$-deferred invariant and asymptotical deferred invariant statistical equivalence of order $\alpha$ ($0<\alpha\leq 1$) for sequences of sets in the Wijsman sense. Furthermore, we investigate the connections between these concepts and conduct their properties.

Keywords

• Asymptotical equivalence
• Deferred statistical convergence
• Invariant summability
• Order $\alpha$
• Sequences of sets
• Wijsman convergence

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