Approximation via Equi-Statistical Convergence in the Sense of Power Series Method
Yazarlar (3)
Prof. Dr. Kamil DEMİRCİ Sinop Üniversitesi, Türkiye
Prof. Dr. Fadime DİRİK Sinop Üniversitesi, Türkiye
Doç. Dr. Sevda YILDIZ Sinop Üniversitesi, Türkiye
| Makale Türü | Özgün Makale (SSCI, AHCI, SCI, SCI-Exp dergilerinde yayınlanan tam makale) | ||
| Dergi Adı | Revista De La Real Academia De Ciencias Exactas Fisicas Y Naturales Serie A Matematicas (Q1) | ||
| Dergi ISSN | 1578-7303 Dergi Bilgileri (2022) | ||
| Dergi Tarandığı Indeksler | SCI-Expanded | ||
| Makale Dili | İngilizce | Basım Tarihi | 04-2022 |
| Kabul Tarihi | 11-11-2021 | Yayınlanma Tarihi | 22-01-2022 |
| Cilt / Sayı / Sayfa | 116 / 2 / 1–13 | DOI | 10.1007/s13398-021-01191-4 |
| Makale Linki | https://link.springer.com/article/10.1007/s13398-021-01191-4 | ||
| UAK Araştırma Alanları |
Matematiksel Analiz
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| Özet |
| In this study, we define a new type of convergence using the notions of statistical convergence in the sense of the power series method and equi-statistical convergence then, we give an example that supports this new definition and after that we use it to prove a Korovkin-type approximation theorem. This theorem is a non-trivial generalization of Korovkin-type approximation theorems that have been studied in earlier papers. Also, we present an example that satisfies our approximation theorem which hasn’t satisfied the one studied before. Moreover, we calculate the rate of equi-statistical convergence in the sense of the power series method and then, we prove a Voronovskaya-type approximation theorem. Finally, we summarize our results in the conclusion section. |
| Anahtar Kelimeler |
| Equi-statistical convergence | Korovkin-type approximation theorem | Rate of convergence | Statistical convergence with respect to power series method | Voronovskaya-type approximation theorem |
BM Sürdürülebilir Kalkınma Amaçları
| Atıf Sayıları | |
| Web of Science | 32 |
| Scopus | 35 |
| Google Scholar | 43 |