On P-Equi-Statistical Relative Convergence in Sequences of Fuzzy-Valued Functions with Applications to Korovkin-Type Approximation
Yazarlar (2)
Doç. Dr. Sevda YILDIZ Sinop Üniversitesi, Türkiye
Doç. Dr. Nilay Şahin Bayram Başkent Üniversitesi, Türkiye
| Makale Türü |
Özgün Makale
(SSCI, AHCI, SCI, SCI-Exp dergilerinde yayınlanan tam makale)
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| Dergi Adı | Filomat (Q2) | ||
| Dergi ISSN | 0354-5180 Dergi Bilgileri (2025) | ||
| Dergi Tarandığı Indeksler | SCI-Expanded | ||
| Makale Dili | İngilizce | Basım Tarihi | 12-2025 |
| Cilt / Sayı / Sayfa | 39 / 32 / 11621–11636 | DOI | 10.2298/FIL2532621Y |
| Makale Linki | https://www.jstor.org/stable/27430863 | ||
| UAK Araştırma Alanları |
Matematiksel Analiz
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| Özet |
| In this study, we introduce and investigate new forms of convergence, namely, P-statistical relative pointwise, uniform, and P-equi-statistical relative convergence, for sequences of functions whose values lie in the space of fuzzy numbers. These notions, motivated by a synthesis of statistical and relative convergence frameworks, are explored both in terms of their structural characteristics and mutual interrelationships. Furthermore, we examine the behavior of their corresponding r-level sets to provide deeper insight into their convergence dynamics. As a principal application, we apply approximation theorems of Korovkin-type for sequences of functions with fuzzy values under the newly proposed modes of convergence, and we compute the rate of convergence. |
| Anahtar Kelimeler |
| fuzzy Korovkin theory | Fuzzy-number-valued function | P-equi-statistical relative convergence |
BM Sürdürülebilir Kalkınma Amaçları
| Atıf Sayıları | |
| Web of Science | 2 |
| Scopus | 2 |
| Google Scholar | 2 |