On Approximation Properties of Baskakov-Schurer-Szasz-Stancu Operators Based on q-integers

M. Mursaleen, A. H. AL-Abied, Khursheed J. Ansari


In the present paper, we introduce Stancu type generalization of Baskakov-Schurer-Szasz operators based on the q-integers and investigate their approximation properties. We obtain rate of convergence, weighted approximation and Voronovskaya type theorem for new operators. Then we obtain a point-wise estimate using the Lipschitz type maximal function. Furthermore, we study A-statistical convergence of these operators and also, in order to obtain a better approximation.

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