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Approximation Properties For Modified q-Bernstein-Kantorovich Operators
Authors:M Mursaleen  Faisal Khan  Asif Khan
Institution:1. Department of Mathematics , Aligarh Muslim University , Aligarh , India mursaleenm@gmail.com;3. Department of Mathematics , Aligarh Muslim University , Aligarh , India
Abstract:The purpose of this article is to give a generalization of q-Bernstein-Kantorovich operators. We present some approximation theorems. We compute the rate of convergence and error estimation of these operators by means of the modulus of continuity. Furthermore, we give some numerical examples to show comparisons in illustrative graphics for the convergence of these operators to various functions.
Keywords:Error estimate  Lipschitz class  Modulus of continuity  Peetre's K-functional  Positive linear operators  q-Bernstein-Kantorovich operators
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