Journal of Applied Mathematics
Volume 2013 (2013), Article ID 187530, 5 pages
Research Article

Generalization of Statistical Korovkin Theorems

Department of Mathematics, TOBB Economics and Technology University, Söğütözü, 06530 Ankara, Turkey

Received 18 March 2013; Accepted 21 May 2013

Academic Editor: Juan Manuel Peña

Copyright © 2013 Alperen Ali Ergur and Oktay Duman. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


We generalize and develop the Korovkin-type approximation theory by using an appropriate abstract space. We show that our approximation is more applicable than the classical one. At the end, we display some applications.