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

Sevda YILDIZ

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

Makale detayları

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

Yazarlar:

Sevda YILDIZ

Ana Başlıklar:

Matematik

Dergi:

Cumhuriyet Science Journal 2021 Vol.42 Issue 1, pp.123-131

Belge Tipi:

Makale

Yayın Tarihi:

3/2021

Belge Dili:

İngilizce

Document ID (Org No.):

2000920306

DOI:

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

Özet:

 

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.

Makale detayları

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

Yazarlar: Sevda YILDIZ

Ana Başlıklar: Matematik

Dergi: Cumhuriyet Science Journal 2021 Vol.42 Issue 1, pp.123-131

Belge Tipi: Makale

Yayın Tarihi: 3/2021

Belge Dili: İngilizce

Document ID (Org No.): 2000920306

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

Sayı

Yazarlar:

Sevda YILDIZ

Ana Başlıklar:

Matematik

Dergi:

Cumhuriyet Science Journal 2021 Vol.42 Issue 1, pp.123-131

Belge Tipi:

Makale

Yayın Tarihi:

3/2021

Belge Dili:

İngilizce

Document ID (Org No.):

2000920306

DOI:

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