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In the current paper, we introduce Stancu type generalization of Baskakov-Kantorovich operators based on (p; q)-integers and estimate the moments. We show the convergence of the new operators via the weighted Korovkin theorem. Then we investigate direct results by using Peetre's Kfunctional and modulus of continuity. In addition, we give pointwise estimation by the help of functions belonging to Lipschitz class. Moreover, we demonstrate the Voronovskaya-type theorem for the newly constructed operators. In the last section, we represent some illustrative graphics to show the convergence of the constructed operators to the selected function by using MATLAB.

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<abstract><p>This paper deals with the newly modification of Beta-type Bernstein operators, preserving constant and Korovkin's other test functions $ e_i = t^i $, $ i = 1, 2 $ in limit case. Then the uniform convergence of the constructed operators is given. The rate of convergence is obtained in terms of modulus of continuity, Peetre-$ \mathcal{K} $ functionals and Lipschitz class functions. After that, the Voronovskaya-type asymptotic result for these operators is established. At last, the graphical results of the newly defined operators are discussed.</p></abstract>