Approximation via a product (P, Ka )-convergence method on Hω(K)
Yazarlar (3)
Selin Çlnar
Sinop Üniversitesi, Türkiye
Sinop Üniversitesi, Türkiye
Doç. Dr. Sevda YILDIZ 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 | Mathematica Slovaca (Q2) | ||
| Dergi ISSN | 0139-9918 Dergi Bilgileri (2026) | ||
| Dergi Tarandığı Indeksler | SCI-Expanded | ||
| Makale Dili | İngilizce | Basım Tarihi | 08-2026 |
| Cilt / Sayı / Sayfa | 76 / 4 / 1051–1064 | DOI | 10.1515/ms-2025-1027 |
| Makale Linki | https://www.degruyterbrill.com/document/doi/10.1515/ms-2025-1027/html | ||
| UAK Araştırma Alanları |
Matematiksel Analiz
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| Özet |
| This paper presents a Korovkin-type approximation theorem for positive linear operators defined on the space with . The main result is formulated using the concept of (P, K a )-convergence, which is defined as the product of P-statistical convergence and K a -convergence. We provide a constructive example of a sequence of operators that satisfies the conditions of the theorem. The behaviour of the operator in the example has been further illustrated through graphs. Furthermore, we extend our results to the multidimensional case. Finally, we use a modulus of smoothness to calculate the rate of (P, K a )-convergence for this sequence of operators. |
| Anahtar Kelimeler |
| K a -convergence | Korovkin theorem | power series statistical convergence | the Bleimann Butzer and Hahn operators |
BM Sürdürülebilir Kalkınma Amaçları
| Atıf Sayıları | |
| Web of Science | 1 |
| Scopus | 1 |
| Google Scholar | 2 |