Sever Y.Talo Ö.2025-04-102025-04-102018http://hdl.handle.net/20.500.14701/47542The concept of statistical e-convergence for a double sequence has been defined by Sever and Talo (Iran J Sci Technol Trans A Sci 41(3):851–857, 2017). In this paper we keep working on this convergence. We introduce the concepts of statistical e-limit superior and inferior and prove some fundamental properties of them. Further more by means of statistical e-convergence, we prove a Korovkin-type approximation theorem for double sequences of positive linear operators defined on the space of all 2 π-periodic and real valued-continuous functions on the real two-dimensional space. © 2018, Shiraz University.Article10.1007/s40995-017-0476-6