The uniform convergence of a double sequence of functions at a point and Korovkin-type approximation theorems
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Tarih
2021
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Walter De Gruyter Gmbh
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
In this paper, we introduce an interesting kind of convergence for a double sequence called the uniform convergence at a point. We give an example and demonstrate a Korovkin-type approximation theorem for a double sequence of functions using the uniform convergence at a point. Then we show that our result is stronger than the Korovkin theorem given by Volkov and present several graphs. Finally, in the last section, we compute the rate of convergence.
Açıklama
Anahtar Kelimeler
Korovkin theorem, rate of convergence, double sequence, uniform convergence at a point
Kaynak
Georgian Mathematical Journal
WoS Q Değeri
Q2
Scopus Q Değeri
Q2
Cilt
28
Sayı
4
