A New Perspective to Convergence Types in Classical Real Analysis Using Double Sequences

Duyar C., Sagir B., Ogur O.

FILOMAT, no.2, pp.483-488, 2016 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Publication Date: 2016
  • Doi Number: 10.2298/fil1602483d
  • Journal Name: FILOMAT
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.483-488
  • Keywords: Double function sequence, almost everywhere convergence in Pringsheim's sense, convergence in measure in Pringsheim's sense, uniformly convergence in Pringsheim's sense
  • Ondokuz Mayıs University Affiliated: Yes

Abstract

In this work, following their counterparts for single sequences in classical real analysis we will introduce and examine convergence types and relationship between them for double sequences of functions defined on a subset E with finite measure in real numbers.