Approximation by nonlinear Bernstein-Chlodowsky operators of Kantorovich type

Acar E., Güller Ö. Ö., Serenbay S. K.

Filomat, vol.37, no.14, pp.4621-4627, 2023 (SCI-Expanded) identifier

  • Publication Type: Article / Article
  • Volume: 37 Issue: 14
  • Publication Date: 2023
  • Doi Number: 10.2298/fil2314621a
  • Journal Name: Filomat
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, zbMATH
  • Page Numbers: pp.4621-4627
  • Keywords: Bernstein-Chlodowsky operators, max-product operators of Kantorovich type, shape preserving properties
  • Ankara University Affiliated: Yes

Abstract

In this study, we give the monotonicity of the Bernstein-Chlodowsky max product operator. Then, we introduce Bernstein-Chlodowsky-Kantorovich operators of max-product type and obtain this operator preserves quasi-concavity. Also, we give some approximation properties of Lipschitz functions by max-product kind of Bernstein-Chlodowsky-Kantorovich operators.