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In this paper, we have studied the Bézier variant of Chlodovsky-Durrmeyer operators Dm ,θ for function f measurable and locally bounded on the interval [0,∞). In this we improved the result given by Ibikl E. And Karsli H. [14]. We estimate the rate of pointwise convergence of Dm ,θf (x) at those x > 0 at which the one-sided limits f x + , f(x−) exist by using the Chanturia modulus of variation. In the special case θ = 1 the recent result of Ibikl E. And Karsli H. [14] concerning the Chlodowsky-Durrmeyer operators Dm is essentially improved and extended to more general classes of functions.

A Study on the Rate of Convergence of Chlodovsky-Durrmeyer Operator and Their Bézier Variant