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In the present article, we study some smoothness properties of new Lupaş-Kantorovich type operators based on Pólya distribution, as uniform convergence and asymptotic behavior. In order to get the degree of approximation, some quantitative type theorems will be established. The bivariate extension of these operators, with some indispensable results will be also presented.

Some smoothness properties of the Lupaş-Kantorovich type operators based on Pólya distribution