I−lacunary summability function of order α
Filomat, cilt.31, sa.1, ss.69-76, 2017 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 31 Sayı: 1
- Basım Tarihi: 2017
- Doi Numarası: 10.2298/fil1701069s
- Dergi Adı: Filomat
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Sayfa Sayıları: ss.69-76
- Anahtar Kelimeler: Filter, I-lacunary statistical convergence, I-statistical convergence of order α, Ideal, Nonnegative real-valued function
- Uşak Üniversitesi Adresli: Hayır
Özet
In this paper, we further generalize recently introduced summability methods in [23](where ideals of ℕ were used to extend certain important summability methods) and introduce new notions, namely, I−statistical convergence of order α, where 0 < α < 1 by taking nonnegative real-valued Lebesque measurable function in the interval (1, ∞). We mainly investigate their relationship and also make some observations about these classes. The study leaves a lot of interesting open problems.