Parametric generalization of the modified Bernstein-Kantorovich operators

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Communications Faculty of Sciences University Ankara Series A1 Mathematics and Statistics
Volume:73 Issue:2
Parametric generalization of the modified Bernstein-Kantorovich operators

Parametric generalization of the modified Bernstein-Kantorovich operators

Authors : Kadir Kanat, Melek Sofyalıoğlu, Selin Erdal

Pages : 460-473

Doi:10.31801/cfsuasmas.1338789

View : 96 | Download : 82

Publication Date : 2024-06-21

Article Type : Research Paper

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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