Sever, YTalo, Ö2024-07-182024-07-180236-52941588-2632http://akademikarsiv.cbu.edu.tr:4000/handle/123456789/8089Boos, Leiger and Zeller [1,2] defined the concept of e-convergence. In this paper we introduce the concepts of e-limit superior and inferior for real double sequences and prove some fundamental properties of e-limit superior and inferior. In addition to these results we define e-core for double sequences. Also, we show that that if A is a nonnegative C-e-regular matrix then the e-core of Ax is contained in e-core of x, provided that Ax exists.EnglishArticle