M. Mursaleen, T. Khan, Approximation properties of the generalized q-Bernstein-Schurer-Kantorovich operators, 2016 (2016), Article ID 28 (22 June 2016)

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Abstract

In this paper, a generalization of the q-Bernstein-Schurer-Kantorovich operators is considered. Some approximation results using the Korovkin type approximation theorem are established. The rate of convergence using the first and the second modulus of continuity is studied. The rate of convergence by means of the Lipschitz class is also investigated. Furthermore, the rate of convergence in terms of the modulus of continuity of the derivative of a function is estimated.

 

How to Cite this Article:

M. Mursaleen, T. Khan, Approximation properties of the generalized q-Bernstein-Schurer-Kantorovich operators, Journal of Nonlinear Functioinal Analysis 2016 (2016), Article ID 28.