Approximation by Kantorovich-type max-min operators and its applications
Applied Mathematics and Computation, cilt.423, 2022 (SCI-Expanded)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 423
- Basım Tarihi: 2022
- Doi Numarası: 10.1016/j.amc.2022.127011
- Dergi Adı: Applied Mathematics and Computation
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED)
- Anahtar Kelimeler: Max-min operators, Kantorovich operators, Rate of approximation, Shape-preserving properties, Fuzzy logic, Image processing, WEIGHTED APPROXIMATION, PRODUCT OPERATORS, CONVERGENCE, OPERATIONS
- Hacettepe Üniversitesi Adresli: Evet
Özet
© 2022In this study, we construct Kantorovich variant of max-min kind operators, which are nonlinear. By using these new operators, we obtain some uniform approximation results in N-dimension (N≥1). Then, we estimate the error with the help of Hölder continuous functions and modulus of continuity. Furthermore, we give some illustrative applications to verify our theory and also investigate some shape-preserving properties of Kantorovich-type max-min Bernstein operator. Lastly, we examine the image processing implementation of our results via Kantorovich-type max-min Shepard operator.