Approximation via Statistical Convergence in the Sense of Power Series Method of Bögel-Type Continuous Functions
Yazarlar (3)
Prof. Dr. Kamil DEMİRCİ Sinop Üniversitesi, Türkiye
Doç. Dr. Sevda YILDIZ Sinop Üniversitesi, Türkiye
Prof. Dr. Fadime DİRİK Sinop Üniversitesi, Türkiye
| Makale Türü |
Özgün Makale
(ESCI dergilerinde yayınlanan tam makale)
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| Dergi Adı | Lobachevskii Journal of Mathematics | ||
| Dergi ISSN | 1995-0802 Dergi Bilgileri (2022) | ||
| Dergi Tarandığı Indeksler | ESCI | ||
| Makale Dili | İngilizce | Basım Tarihi | 09-2022 |
| Kabul Tarihi | 10-03-2022 | Yayınlanma Tarihi | 01-09-2022 |
| Cilt / Sayı / Sayfa | 43 / 9 / 2423–2432 | DOI | 10.1134/S1995080222120095 |
| Makale Linki | http://dx.doi.org/10.1134/s1995080222120095 | ||
| UAK Araştırma Alanları |
Matematiksel Analiz
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| Özet |
| In this paper, we study Korovkin-type approximation for double sequences of positive linear operators defined on the space of all real valued \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$B-$$\end{document}continuous functions via the notion of statistical convergence in the sense of power series methods instead of Pringsheim convergence. We present an interesting application that satisfies our new approximation theorem which wasn’t satisfied the one studied before. In addition, we derive the rate of convergence of the proposed approximation theorem. Finally, we give a conclusion for periodic functions. |
| Anahtar Kelimeler |
| B-continuity | double sequences | Korovkin theorem | Pp-statistical convergence | positive linear operator |
BM Sürdürülebilir Kalkınma Amaçları
| Atıf Sayıları | |
| Web of Science | 4 |
| Scopus | 4 |
| Google Scholar | 4 |