Approximation by N-dimensional max-product and max-min kind discrete operators with applications
FILOMAT, cilt.38, sa.5, ss.1825-1845, 2024 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 38 Sayı: 5
- Basım Tarihi: 2024
- Doi Numarası: 10.2298/fil2405825a
- Dergi Adı: FILOMAT
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Sayfa Sayıları: ss.1825-1845
- Hacettepe Üniversitesi Adresli: Evet
Özet
In this study, we construct max-product and max-min kind pseudo-linear discrete operators. First, we obtain some approximation results for bounded and uniformly continuous functions. Then, the rate of convergence for these approximations using a suitable Lipschitz class of continuous functions is also discussed. Some applications for verifying our results are also given. Furthermore, we approximate fuzzy numbers using our operators. Finally, we apply our approximation in image processing.