Statistical relative uniform convergence of a double sequence of functions at a point and applications to approximation theory

Yıl 2021, Cilt: 42 Sayı: 1, 123 - 131, 29.03.2021

Sevda Yıldız

https://doi.org/10.17776/csj.831339

Cited By: 1

Öz

In the present paper, we introduce a new kind of convergence, called the statistical relative uniform convergence, for a double sequence of functions at a point, where the relative uniform convergence of the set of the neighborhoods of the given point is considered. By the use of the statistical relative uniform convergence, we investigate a Korovkin type approximation theorem which makes the proposed method stronger than the ones studied before. After that, we give an example using this new type of convergence. We also study the rate of convergence of the proposed convergence.

Anahtar Kelimeler

Double sequence, Korovkin theorem, rate of convergence, statistical relative uniform convergence

Kaynakça

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