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Wang, Heping; Zhang, Yanbo

The rate of convergence of Lupas \(q\)-analogue of the Bernstein operators. (English) Zbl 1474.41043

Abstr. Appl. Anal. 2014, Article ID 521709, 6 p. (2014).
Summary: We discuss the rate of convergence of the Lupas \(q\)-analogues of the Bernstein operators \(R_{n, q}(f; x)\) which were given by Lupas in 1987. We obtain the estimates for the rate of convergence of \(R_{n, q}(f)\) by the modulus of continuity of \(f\), and show that the estimates are sharp in the sense of order for Lipschitz continuous functions.

Cited in 6 Documents

MSC:

41A35 Approximation by operators (in particular, by integral operators)
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References:

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