Approximation theorems via power series statistical convergence and applications for sequences of monotone and sublinear operators
Yazarlar (3)
Doç. Dr. Sevda YILDIZ Sinop Üniversitesi, Türkiye
Prof. Dr. Kamil DEMİRCİ Sinop Üniversitesi, Türkiye
Prof. Dr. Fadime DİRİK 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 (2025) | ||
| Dergi Tarandığı Indeksler | SCI-Expanded | ||
| Makale Dili | İngilizce | Basım Tarihi | 10-2025 |
| Kabul Tarihi | 17-07-2025 | Yayınlanma Tarihi | 26-07-2025 |
| Cilt / Sayı / Sayfa | 119 / 4 / 1–17 | DOI | 10.1007/s13398-025-01767-4 |
| Makale Linki | https://link.springer.com/article/10.1007/s13398-025-01767-4 | ||
| UAK Araştırma Alanları |
Matematiksel Analiz
|
||
| Özet |
| In this paper, we address the problem of extending Korovkin-type approximation theorems to sequences of monotone and sublinear operators via the concept of power series statistical convergence (statistical convergence with respect to power series methods), which is incompatible with statistical convergence and in general a non-matrix method. It is important to emphasise that any positive linear operator is monotone sublinear, but the opposite is not correct. We establish several Korovkin-type theorems under these generalized settings and demonstrate their applicability with concrete examples. |
| Anahtar Kelimeler |
| Choquet integral | Monotone and sublinear operators | Power series method | Statistical convergence |
BM Sürdürülebilir Kalkınma Amaçları
| Atıf Sayıları | |
| Web of Science | 8 |
| Scopus | 7 |
| Google Scholar | 10 |