Abstract

In this paper, we study the concept of asymptotically statistical equivalent sequences with sequences of functions defined on a common domain. The literature provides a deeper understanding of non-negative sequences of real functions in the context of asymptotic analysis. We introduced asymptotically statistical equivalent sequences of functions of multiple $\alpha$ with some novel examples. In addition, certain essential theorems and corollaries are investigated.

Keywords and Phrases

Statistical convergence, asymptotically equivalent sequences, sequence of functions, pointwise convergence.

A.M.S. subject classification

Primary 40A05, secondary 46A45.

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