ℐ-αβ-statistical relative uniform convergence for double sequences and its applications
Yazarlar (2)
Doç. Dr. Nilay Şahin Bayram Faculty Of Engineering, Türkiye
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 | Demonstratio Mathematica (Q1) | ||
| Dergi ISSN | 2391-4661 Dergi Bilgileri (2025) | ||
| Dergi Tarandığı Indeksler | SCI-Expanded | ||
| Makale Dili | İngilizce | Basım Tarihi | 10-2025 |
| Kabul Tarihi | – | Yayınlanma Tarihi | 01-01-2025 |
| Cilt / Sayı / Sayfa | 58 / 1 / 1–16 | DOI | 10.1515/dema-2025-0163 |
| Makale Linki | https://doi.org/10.1515/dema-2025-0163 | ||
| UAK Araştırma Alanları |
Matematiksel Analiz
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| Özet |
| This article introduces a novel concept of convergence, referred to as --statistical relative uniform convergence, for double sequences of functions. This notion, which is proposed for the first time in this article, is explored in depth, leading to the establishment of a Korovkin-type approximation theorem within this framework. The illustrative example demonstrates that the proposed convergence is indeed stronger than previously known forms. Additionally, this article investigates the rate of --statistical relative uniform convergence, providing explicit computations to support the findings. The results contribute to the understanding of ideal statistical convergence and open up new perspectives for approximation theory. |
| Anahtar Kelimeler |
| ideal relative convergence for double sequences | Korovkin-type theorem | positive linear operator | ℐ2-α β-statistical relative uniform convergence |
BM Sürdürülebilir Kalkınma Amaçları
| Atıf Sayıları | |
| Web of Science | 1 |
| Scopus | 1 |
| Google Scholar | 1 |