Rate of P-convergence over equivalence classes of double sequence spaces
Positivity, vol.16, no.4, pp.739-749, 2012 (SCI-Expanded, Scopus)
- Publication Type: Article / Article
- Volume: 16 Issue: 4
- Publication Date: 2012
- Doi Number: 10.1007/s11117-011-0143-7
- Journal Name: Positivity
- Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Page Numbers: pp.739-749
- Keywords: Divergent double sequences, Pringsheim limit point, P-convergent, Asymptotically equivalent
- İstanbul Ticaret University Affiliated: Yes
Abstract
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.