In this paper we establish an estimation for the rate of pointwise convergence of the Chlodovsky-Kantorovich polynomials for functions f locally integrable on the interval [0,∞). In particular, corresponding estimation for functions f measurable and locally bounded on [0,∞) is presented, too.
The smoothness and approximation properties of certain discrete operators for bivariate functions are examined.
In the present paper we consider the Bézier variant of Chlodovsky-Kantorovich operators for functions measurable and locally bounded on the interval . By using the Chanturiya modulus of variation we estimate the rate of pointwise convergence of at those at which the one-sided limits , exist.
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