Approximation by Kantorovich-type max-min operators and its applications

Gökçer T. Y., Aslan İ.

Applied Mathematics and Computation, cilt.423, 2022 (SCI-Expanded) identifier identifier

  • 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.