Generalized statistical convergence for sequences of function in random 2-normed spaces
Küçük Resim Yok
Tarih
2018
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Springer Verlag
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
In this paper, we introduce a new type of convergence for a sequence of function, namely, ? -statistically convergent sequences of functions in random 2-normed space, which is a natural generalization of convergence in random 2-normed space. In particular, following the line of recent work of Karakaya et al. [12], we introduce the concepts of uniform ? -statistical convergence and pointwise ? -statistical convergence in the topology induced by random 2-normed spaces. We define the ? -statistical analog of the Cauchy convergence criterion for pointwise and uniform ? -statistical convergence in a random 2-normed space and give some basic properties of these concepts. In addition, the preservation of continuity by pointwise and uniform ? -statistical convergence is proven. © 2018, Springer Nature Singapore Pte Ltd.
Açıklama
4th International Conference on Mathematics and Computing, ICMC 2018 -- 9 January 2018 through 11 January 2018 -- -- 212949
Anahtar Kelimeler
Random 2-normed space, The sequences of functions, ? -statistical convergence
Kaynak
Communications in Computer and Information Science
WoS Q Değeri
Scopus Q Değeri
Q4
Cilt
834
