Abstract and Applied Analysis
Volume 2011 (2011), Article ID 420419, 11 pages
http://dx.doi.org/10.1155/2011/420419
Research Article

Statistical Convergence in Function Spaces

Agata Caserta,1 Giuseppe Di Maio,1 and Ljubiša D. R. Kočinac2

1Department of Mathematics, SUN, 81100 Caserta, Italy
2Faculty of Sciences and Mathematics, University of Niš, 18000 Niš, Serbia

Received 26 April 2011; Accepted 2 October 2011

Academic Editor: Jean Pierre Gossez

Copyright © 2011 Agata Caserta et al. 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.

Abstract

We study statistical versions of several classical kinds of convergence of sequences of functions between metric spaces (Dini, Arzelà, and Alexandroff) in different function spaces. Also, we discuss a statistical approach to recently introduced notions of strong uniform convergence and exhaustiveness.