Characterization of multidimensional A-strong convergence

ÜNVER M.

Studia Scientiarum Mathematicarum Hungarica, cilt.50, sa.1, ss.17-25, 2013 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 50 Sayı: 1
  • Basım Tarihi: 2013
  • Doi Numarası: 10.1556/sscmath.50.2013.1.1229
  • Dergi Adı: Studia Scientiarum Mathematicarum Hungarica
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.17-25
  • Anahtar Kelimeler: A-uniform integrability, Multidimensional sequence, Strong summability
  • Ankara Üniversitesi Adresli: Evet

Özet

Recently Khan and Orhan have proved that an ordinary (single) sequence is A-strongly convergent if and only if it is A-statistically convergent and A-uniformly integrable. In this paper we consider the similar problem for multidimensional sequences when A is a multivariable-to-single matrix. We also study the same question when A is a multivariableto- multivariable matrix. © 2013 Akadémiai Kiadó, Budapest.