Double uniform density and corresponding convergence of double sequences

Das P., Savas E.

Studia Scientiarum Mathematicarum Hungarica, cilt.49, sa.4, ss.419-435, 2012 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 49 Sayı: 4
  • Basım Tarihi: 2012
  • Doi Numarası: 10.1556/sscmath.49.2012.4.1208
  • Dergi Adı: Studia Scientiarum Mathematicarum Hungarica
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.419-435
  • Anahtar Kelimeler: almost convergence, double sequences, double uniform density, four dimensional matrices, Iu-convergence, matrix transformation., Primary 40A05, Secondary 11C05, uniformly strong p-Cesàro convergence
  • Uşak Üniversitesi Adresli: Hayır

Özet

We introduce the concept of double uniform density of subsets of and the study the corresponding convergence (namely, Iu-convergence) of double sequences. Further we solve an inequality related to the Iu-limit superior of bounded double sequences in line of [5].