@article{article_1338789, title={Parametric generalization of the modified Bernstein-Kantorovich operators}, journal={Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics}, volume={73}, pages={460–473}, year={2024}, DOI={10.31801/cfsuasmas.1338789}, author={Kanat, Kadir and Sofyalıoğlu, Melek and Erdal, Selin}, keywords={Bernstein-Kantorovich operators, Peetre-K functional, modulus of continuity, Lipschitz class}, 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.}, number={2}, publisher={Ankara University}