On I-Statistical And I-Lacunary Statistical Convergence Of Order Alpha
Yükleniyor...
Tarih
2014
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Iranian Mathematical Soc.
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
In this paper, following a very recent and new approach, we further generalize recently introduced summability methods, namely, I-statistical convergence and I-lacunary statistical convergence (which extend the important summability methods, statistical convergence and lacunary statistical convergence using ideals of N) and introduce the notions of I-statistical convergence of order a and I-lacunary statistical convergence of order alpha, where 0 < alpha< 1. We mainly investigate their relationship and also make some observations about these classes and in the way try to give an answer to an open problem posed By Das, Savas and Ghosal in 2011. The study leaves a lot of interesting open problems.
Açıklama
Anahtar Kelimeler
Ideal; Filter; I-Statistical Convergence Of Order Alpha; I-Lacunary Statistical Convergence Of Order Alpha; Closed Subspace.
Kaynak
The Bulletin of the Iranian Mathematical Society
WoS Q Değeri
Q4
Scopus Q Değeri
N/A
