Rate of P-convergence over equivalence classes of double sequence spaces
Positivity, cilt.16, sa.4, ss.739-749, 2012 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 16 Sayı: 4
- Basım Tarihi: 2012
- Doi Numarası: 10.1007/s11117-011-0143-7
- Dergi Adı: Positivity
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Sayfa Sayıları: ss.739-749
- Anahtar Kelimeler: Divergent double sequences, Pringsheim limit point, P-convergent, Asymptotically equivalent
- İstanbul Ticaret Üniversitesi Adresli: Evet
Özet
This paper presents multidimensional characterizations of equivalence classes of double sequences. These characterizations will be analyzed by presenting theorems of the following type: If A is convergent preserving over {x ∈ S″0 : x equivalent to b} then there exists a b′ ∈ S″0 such that b converges faster than b′ and A is convergent preserving over {x ∈ S″0 : x equivalent to b′} © 2011 Springer Basel AG.