Statistical Relative Equal Convergence of Double Function Sequences and Korovkin-Type Approximation Theorem
Yazarlar (2)
Dr. Öğr. Üyesi Pınar OKÇU ŞAHİN Sinop Üniversitesi, Türkiye
Prof. Dr. Fadime DİRİK Sinop Üniversitesi, Türkiye
| Makale Türü | Özgün Makale (SCOPUS dergilerinde yayınlanan tam makale) | ||
| Dergi Adı | Applied Mathematics E Notes | ||
| Dergi ISSN | 1607-2510 Dergi Bilgileri (2019) | ||
| Dergi Tarandığı Indeksler | ESCI | ||
| Makale Dili | İngilizce | Basım Tarihi | 01-2019 |
| Cilt / Sayı / Sayfa | 19 / 1 / 101–115 | DOI | – |
| UAK Araştırma Alanları |
Matematik
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| Özet |
| In this work, we introduce our new concept of the statistical equal convergence for double function sequences. Later, we introduce the concept of statistical relative equal convergence of double function sequences which is stronger than the notion of statistical relative convergence and statistical uniform convergence to demonstrate a Korovkin type approximation theorem and prove that our theorem is a non-trivial extension of some well-known Korovkin type approximation theorems which were proven by earlier authors. We present an example in support of our definition and result presented in this paper. Finally, we study Voronovskaya type theorem via statistical relative equal convergence. |
| Anahtar Kelimeler |
