APPROXIMATION BY GENUINE LUPAS-BETA-STANCU OPERATORS

In this paper, we introduce a Stancu type generalization of genuine Lupas-Beta operators of integral type. We establish some moment estimates and the direct results in terms of classical modulus of continuity, Voronovskaja-type asymptotic theorem, weighted approximation, rate of convergence and pointwise estimates using the Lipschitz type maximal function. Lastly, we propose a king type modification of these operators to obtain better estimates.