Approximation theorems using the method of $\mathcal{I}_{2}$-statistical convergence
[ X ]
Tarih
2024
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Amasya University
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
In this study, we utilize the concept of $\mathcal{I}$-statistical convergence for double sequences to establish a general approximation theorem of Korovkin-type for double sequences of positive linear operators $(PLOs)$ mapping from $H_{\omega }\left( X\right) $ to $C_{B}\left( X\right) $ where $% X=\left
0,\infty \right) \times \left 0,\infty \right) .$ We then present an example that demonstrates the applicability of our new main result in cases where classical and statistical approaches are not sufficient. Furthermore, we compute the convergence rate of these double sequences of positive linear operators by employing the modulus of smoothness.
0,\infty \right) \times \left 0,\infty \right) .$ We then present an example that demonstrates the applicability of our new main result in cases where classical and statistical approaches are not sufficient. Furthermore, we compute the convergence rate of these double sequences of positive linear operators by employing the modulus of smoothness.
Açıklama
Anahtar Kelimeler
Double sequence, statistical convergence, $\mathcal{I}_{2}$-statistical convergence, Korovkin theorem, the Bleimann Butzer and Hahn operator
Kaynak
Journal of Amasya University the Institute of Sciences and Technology
WoS Q Değeri
Scopus Q Değeri
Cilt
5
Sayı
2
