Statistical (C, 1) (E, 1) Summability and Korovkin's Theorem
Yükleniyor...
Tarih
2016
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Univ Nis, Fac Sci Math
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
Korovkin-type approximation theory usually deals with convergence analysis for sequences of positive operators. This approximation theorem was extended to more general space of sequences via different way such as statistical convergence, summation processes. In this work, we introduce a new type of statistical product summability, that is, statistical (C, 1) (E, 1) summability and further apply our new product summability method to prove Korovkin type theorem. Furthermore, we present a rate of convergence which is uniform in Korovkin type theorem by statistical (C, 1) (E, 1) summability.
Açıklama
Acar, Tuncer/0000-0003-0982-9459; Mohiuddine, S. A./0000-0002-9050-9104
Anahtar Kelimeler
Korovkin theorem, Positive linear operators, Statistical convergence
Kaynak
Filomat
WoS Q Değeri
Q2
Scopus Q Değeri
Q3
Cilt
30
Sayı
2
Künye
closedAccess