F-relative A-summation process for double sequences and abstract Korovkin type theorems
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Tarih
2021
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Hacettepe Univ, Fac Sci
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
In this paper, we first introduce the notions of F-relative modular convergence and F-relative strong convergence for double sequences of functions. Then we prove some Korovkin-type approximation theorems via F-relative A-summation process on modular spaces for double sequences of positive linear operators. Also, we present a non-trivial application such that our Korovkin-type approximation results in modular spaces are stronger than the classical ones and we present some estimates of rates of convergence for abstract Korovkin-type theorems. Furthermore, we relax the positivity condition of linear operators in the Korovkin theorems and study an extension to non-positive operators.
Açıklama
Anahtar Kelimeler
modular spaces, double sequence, matrix summability, filter convergence, abstract Korovkin theorem
Kaynak
Hacettepe Journal of Mathematics and Statistics
WoS Q Değeri
Q2
Scopus Q Değeri
Q2
Cilt
50
Sayı
4
