Abstract
In the present paper, we consider the Bézier variant of an operator involving Laguerre polynomials of degree k, with α≥1, for bounded functions f defined on the interval [0,1]. In particular, by using the Chanturia modulus of variation, we estimate the rate of pointwise convergence of (Pn,αf)(x,t) at those points x∈(0,1) at which the one‐sided limits f(x+),f(x−) exist. To prove our main result, we have used some methods and techniques of probability theory. Our result extends and generalizes the very recent results of very recent results of the authors to more general classes of functions. Copyright © 2016 John Wiley & Sons, Ltd.
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