On double sequences of continuous functions having continuous P-limits

Patterson R. F., Savas E.

Publicationes Mathematicae Debrecen, cilt.82, sa.1, ss.43-58, 2013 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 82 Sayı: 1
  • Basım Tarihi: 2013
  • Doi Numarası: 10.5486/pmd.2013.5239
  • Dergi Adı: Publicationes Mathematicae Debrecen
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.43-58
  • Anahtar Kelimeler: Double sequences Pringsheim limit point, P-convergent, RH-regular
  • Uşak Üniversitesi Adresli: Hayır

Özet

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?