Approximation by Durrmeyer–Bezier operators (original) (raw)
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In the present paper, we consider the Durrmeyer-type operators, some of which reproduce the linear functions, while some the constant functions only. We observe that the order of approximation for these operators is O(n −1); here, we consider the linear combinations of such operators and study some approximation properties for these operators. Our results essentially improve the order of approximation.