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

Gökçer T. Y., Aslan İ.

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

  • Publication Type: Article / Article
  • Volume: 423
  • Publication Date: 2022
  • Doi Number: 10.1016/j.amc.2022.127011
  • Journal Name: Applied Mathematics and Computation
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED)
  • Keywords: Max-min operators, Kantorovich operators, Rate of approximation, Shape-preserving properties, Fuzzy logic, Image processing, WEIGHTED APPROXIMATION, PRODUCT OPERATORS, CONVERGENCE, OPERATIONS
  • Hacettepe University Affiliated: Yes

Abstract

© 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.