Statistical Relative Uniform Convergence of a Double Sequence of Functions at a Point and Applications to Approximation Theory
Yazarlar (1)
Doç. Dr. Sevda YILDIZ Sinop Üniversitesi, Türkiye
Makale Türü Açık Erişim Özgün Makale (Diğer hakemli uluslarası dergilerde yayınlanan tam makale)
Dergi Adı Cumhuriyet Science Journal
Dergi ISSN 2587-2680
Dergi Tarandığı Indeksler TR DİZİN
Makale Dili İngilizce Basım Tarihi 03-2021
Kabul Tarihi 03-03-2021 Yayınlanma Tarihi 29-03-2021
Cilt / Sayı / Sayfa 42 / 1 / 123–131 DOI 10.17776/csj.831339
Makale Linki https://dergipark.org.tr/tr/pub/csj/issue/60844/831339
UAK Araştırma Alanları
Matematiksel Analiz
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.
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