Statistical Deferred Cesaro Summability and Its Applications to Tauberian Theory
Küçük Resim Yok
Tarih
2023
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Springer Singapore Pte Ltd
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
Our aim in this paper is to make a novel interpretation of the relation between the statistical deferred Cesaro summability method and statistical convergence based on a certain subsequence for sequences of real or complex numbers. In line with this aim, we introduce a necessary and sufficient Tauberian condition of Moricz-type for statistically deferred Cesaro summable sequences. In addition, we define the concepts of statistical deferred slow decrease and statistical deferred slow oscillation for a sequence of real and complex numbers, respectively. As a result, we derive some Tauberian conditions controlling O-L- and O-oscillatory behavior of a sequence in the statistical sense.
Açıklama
Anahtar Kelimeler
Deferred Cesaro means, Statistical convergence, Tauberian theorems, Tauberian conditions, Statistical deferred slow decrease, Statistical deferred slow oscillation, Convergence
Kaynak
Bulletin of the Iranian Mathematical Society
WoS Q Değeri
Q2
Scopus Q Değeri
Q3
Cilt
49
Sayı
2
