Sever, YTalo, Ö2024-07-182024-07-181028-62762364-1819http://akademikarsiv.cbu.edu.tr:4000/handle/123456789/5373In 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-vertical bar C-10 vertical bar-summability and examined the relationship between statistical e-convergence and strongly e-vertical bar C-10 vertical bar-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.EnglishSUMMABILITYOPERATORSCOREArticle