Abstract Korovkin-type theorems in the filter setting with respect to relative uniform convergence
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Tarih
2020
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Tubitak Scientific & Technological Research Council Turkey
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
We prove a Korovkin-type approximation theorem using abstract relative uniform filter convergence of a net of functions with respect to another fixed filter, a particular case of which is that of all neighborhoods of a point, belonging to the domain of the involved functions. We give some examples, in which we show that our results are strict generalizations of the classical ones.
Açıklama
Anahtar Kelimeler
Korovkin theorem, relative uniform convergence, bivariate Kantorovich operator
Kaynak
Turkish Journal of Mathematics
WoS Q Değeri
Q2
Scopus Q Değeri
Q2
Cilt
44
Sayı
4