Tauberian Theorems for the Statistical Convergence and the Statistical (C, 1, 1) Summability
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
Every P-convergent double sequence is statistically convergent and every bounded statistically convergent sequence is statistical (C, 1, 1) summable. The converse of these implications are not always true. Theorems on which conditioned converses are searched are known as Tauberian theorems. Inspired by the convergence to zero of the difference sequence between a sequence and its arithmetic means in the single sequence case, we obtain Tauberian theorems for the statistical convergence and statistical (C, 1, 1) summability method by imposing some conditions on the difference sequence between a double sequence and its different arithmetic means.
Açıklama
Anahtar Kelimeler
Tauberian theorems, statistical convergence, statistical (C, 1, 1) summability, slow decrease, statistically slow decrease, one-sided conditions
Kaynak
Filomat
WoS Q Değeri
Q2
Scopus Q Değeri
N/A
Cilt
32
Sayı
1
