Sever Y.Talo Ö.2025-04-102025-04-102017http://hdl.handle.net/20.500.14701/48084In this paper, we have introduced the concept of statistical e-convergence and proved some fundamental properties of statistical e-convergence. In addition, we have introduced strongly e- | C10| -summability and examined the relationship between statistical e-convergence and strongly e- | C10| -summability of double sequences. Finally, we investigate a Korovkin-type approximation theorem for double sequences of positive linear operators on the space of all continuous real-valued functions defined on any compact subset of the real two-dimensional space. Then we display an application which shows that our new result is stronger than its classical version. © 2016, Shiraz University.Article10.1007/s40995-016-0018-7