q-Bernstein-Schurer-Kantorovich type operators

The aim of this paper is to present a Stancu type Kantorovich modification of q-Bernstein-Schurer operators introduced by Muraru (Mathematica LVI 2: 1-11, 2011) and modified by Ren and Zeng (Bull Korean Math Soc 50(4): 1145-1156, 2013). Here, we obtain a convergence theorem by using the well known Bohman-Korovkin criterion and find the estimate of the rate of convergence bymeans of modulus of continuity and Lipschitz function for these operators. Also, we establish a Korovkin type A-statistical approximation theorem.