Tauberian Conditions with Controlled Oscillatory Behavior for Statistical Convergence
Küçük Resim Yok
Tarih
2018
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Univ Nis, Fac Sci Math
Erişim Hakkı
info:eu-repo/semantics/closedAccess
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 lim(n ->infinity) s(n) = xi from st - lim(n ->infinity) s(n = xi,) where xi 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.
Açıklama
Anahtar Kelimeler
Tauberian theorems, statistical convergence, logarithmic summability method, one-sided Tauberian conditions, slowly decreasing sequence
Kaynak
Filomat
WoS Q Değeri
Q2
Scopus Q Değeri
N/A
Cilt
32
Sayı
11
