F-Relative A-Summation Process for Double Sequences and Abstract Korovkin Type Theorems
Yazarlar (1)
Doç. Dr. Sevda YILDIZ Sinop Üniversitesi, Türkiye
| Makale Türü |
Özgün Makale
(SSCI, AHCI, SCI, SCI-Exp dergilerinde yayınlanan tam makale)
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| Dergi Adı | Hacettepe Journal of Mathematics and Statistics (Q2) | ||
| Dergi ISSN | 1303-5010 Dergi Bilgileri (2021) | ||
| Dergi Tarandığı Indeksler | SCI-Expanded | ||
| Makale Dili | İngilizce | Basım Tarihi | 08-2021 |
| Kabul Tarihi | 20-02-2021 | Yayınlanma Tarihi | 06-08-2021 |
| Cilt / Sayı / Sayfa | 50 / 4 / 1047–1062 | DOI | 10.15672/hujms.796762 |
| Makale Linki | http://dx.doi.org/10.15672/hujms.796762 | ||
| UAK Araştırma Alanları |
Matematiksel Analiz
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| Özet |
| In this paper, we first introduce the notions of F-relative modular convergence and F-relative strong convergence for double sequences of functions. Then we prove some Korovkin-type approximation theorems via F-relative A-summation Process on modular spaces for double sequences of positive linear operators. Also, we present a non-trivial application such that our Korovkin-type approximation results in modular spaces are stronger than the classical ones and we present some estimates of rates of convergence for abstract Korovkin-type theorems. Furthermore, we relax the positivity condition of linear operators in the Korovkin theorems and study an extension to non-positive operators. |
| Anahtar Kelimeler |
| Abstract Korovkin theorem | Double sequence | Filter convergence | Matrix summability | Modular spaces |
BM Sürdürülebilir Kalkınma Amaçları
| Atıf Sayıları | |
| Web of Science | 2 |
| Scopus | 2 |
| Google Scholar | 2 |