Tauberian conditions with controlled oscillatory behavior for statistical convergence
Makaleler > Tam Makale · 2018
Yazarlar: Sefa Anıl Sezer, Rahmet Savaş, İbrahim ÇANAK
Filomat, SCI Expanded İndekslerine Giren Dergi, Uluslararası, Scopus, 2018, cilt 32, ss 3853-3865
DOI: 10.2298/FIL1811853S
Özet
We present new Tauberian conditions in terms of the general logarithmic control modulo of the oscillatory behavior of a real sequence (s n ) to obtain (Formula presented), where ξ is a finite number. We also introduce the statistical (ℓ, m) summability method and extend some Tauberian theorems to this method. The main results improve some well-known Tauberian theorems obtained for the statistical convergence.