  In our present investigation, we are concerned with the Kantorovich variant
of Lupa\c{s}-Stancu operators based on Polya distribution with Pochhammer
$k$-symbol. We briefly give some basic properties of the generalized operators
and by making use of these results, we investigate convergence properties of
the studied operators. Furthermore, the rate of convergence of these operators
is obtained and Voronovskaja type theorem for the pointwise approximation is
established. Then we construct bivariate generalization of the operators and we
discuss some convergence properties. Finally, taking into account some
illustrative graphics, we conclude our study with the comparison of the rate of
convergence between our operators and other operators which are mentioned in
the paper.

Functional Analysis