On double sequences of continuous functions having continuous P-limits

Patterson R. F., Savas E.

Publicationes Mathematicae Debrecen, vol.82, no.1, pp.43-58, 2013 (SCI-Expanded) identifier

  • Publication Type: Article / Article
  • Volume: 82 Issue: 1
  • Publication Date: 2013
  • Doi Number: 10.5486/pmd.2013.5239
  • Journal Name: Publicationes Mathematicae Debrecen
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.43-58
  • Keywords: Double sequences Pringsheim limit point, P-convergent, RH-regular
  • Uşak University Affiliated: No

Abstract

The goal of this paper includes the four-dimensional matrix charac-terization of double sequence of functions. However the main goal is to present answer to the following question. Is it necessarily the case that if sm;n(x) is a bounded for all (m; n) and x with continuous elements and P-converges to a continuous function there exists an RH-regular matrix transformation that maps (sm;n(x)) into a uniformly P-convergent double sequence?