Characterization of multidimensional A-strong convergence
Studia Scientiarum Mathematicarum Hungarica, cilt.50, sa.1, ss.17-25, 2013 (SCI-Expanded, Scopus)
- 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.