On the Rates of Convergence of Chlodovsky–durrmeyer Operators and Their Bézier Variant
نویسنده
چکیده
We consider the Bézier variant of Chlodovsky–Durrmeyer operators Dn,α for functions f measurable and locally bounded on the interval [0,∞). By using the Chanturia modulus of variation we estimate the rate of pointwise convergence of (Dn,αf) (x) at those x > 0 at which the one-sided limits f(x+), f(x−) exist. In the special case α = 1 the recent result of [14] concerning the Chlodovsky–Durrmeyer operators Dn is essentially improved and extended to more general classes of functions. 2000 Mathematics Subject Classification: 41A25, 41A35, 41A36.
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