FILOMAT, vol.27, no.8, pp.1373-1383, 2013 (SCI-Expanded)
Article / Article
Science Citation Index Expanded (SCI-EXPANDED), Scopus
Filter exhaustiveness, F-alpha-convergence, F-pointwise convergence, F-uniform convergence, F-uniform Cauchy sequence, STATISTICAL CONVERGENCE
Süleyman Demirel University Affiliated:
In this work, we generalize the concepts of exhaustiveness, alpha-convergence, Cauchy sequence, pointwise convergence and uniform convergence for sequences of functions on metric spaces in terms of filters. We investigate some properties of these new concepts. We also examine the relations between the new concepts and the classical concepts.