Filter exhaustiveness and F-alpha-convergence of function sequences

ALBAYRAK H., PEHLİVAN S.

FILOMAT, vol.27, no.8, pp.1373-1383, 2013 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 27 Issue: 8
  • Publication Date: 2013
  • Doi Number: 10.2298/fil1308373a
  • Journal Name: FILOMAT
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.1373-1383
  • Keywords: Filter exhaustiveness, F-alpha-convergence, F-pointwise convergence, F-uniform convergence, F-uniform Cauchy sequence, STATISTICAL CONVERGENCE
  • Süleyman Demirel University Affiliated: Yes

Abstract

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.