Parametric generalization of the modified Bernstein-Kantorovich operators

Year 2024, Volume: 73 Issue: 2, 460 - 473, 21.06.2024

Kadir Kanat , Melek Sofyalıoğlu , Selin Erdal

https://doi.org/10.31801/cfsuasmas.1338789

Abstract

In the current article, a parametrization of the modified Bernstein-Kantorovich operators is studied. Then the Korovkin theorem, approximation properties and central moments of these operators are investigated. The rate of approximation of the operators is obtained by the help of modulus of continuity, functions from Lipschitz class and Peetre-$\mathcal{K}$ functional. Finally, some numerical examples are illustrated to show the effectiveness of the newly defined operators.

Keywords

Bernstein-Kantorovich operators, Peetre-K functional, modulus of continuity, Lipschitz class

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