FILOMAT, vol.27, no.8, pp.1373-1383, 2013 (Journal Indexed in SCI)
Article / Article
Title of Journal :
Filter exhaustiveness, F-alpha-convergence, F-pointwise convergence, F-uniform convergence, F-uniform Cauchy sequence, STATISTICAL CONVERGENCE
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.