Abstract Korovkin-type theorems in the filter setting with respect to relative uniform convergence

[ X ]

Tarih

2020

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

Künye