- Sakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi
- Vol: 22 Issue: 6
- KOROVKIN THEOREM VIA STATISTICAL e-MODULAR CONVERGENCE OF DOUBLE SEQUENCES
KOROVKIN THEOREM VIA STATISTICAL e-MODULAR CONVERGENCE OF DOUBLE SEQUENCES
Authors : Sevda YILDIZ
Pages : 1743-1751
Doi:10.16984/saufenbilder.383770
View : 10 | Download : 4
Publication Date : 2018-12-01
Article Type : Other
Abstract :In the present paper, we obtain an abstract version of the Korovkin type theorem via the concept of statistical e-convergence in modular spaces for double sequences of positive linear operators. We give an application showing that the new result is stronger than classical ones. Also, we study an extension to non-positive operators.Keywords : Statistical e-modular convergence, double sequence, abstract Korovkin theorem