CONVERGENCE OF DERIVATIVES OF GENERALIZED BERNSTEIN OPERATORS |
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| Authors: | L. Y. Zhu & L. Qiu |
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| Affiliation: | Laiyi Zhu (People’s University of China, China) Lin Qiu (Northeastern University at Qinhuangdao, China) |
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| Abstract: | In the present paper, we obtain estimations of convergence rate derivatives of the q-Bernstein polynomials Bn (f, qn ; x) approximating to f ′ (x) asn → ∞, which is a generalization of that relating the classical case qn = 1. On the other hand, we study the convergence properties of derivatives of the limit q-Bernstein operators B ∞ (f, q; x) as q → 1 . |
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| Keywords: | limit q-Bernstein operators derivative of q-Bernstein polynomial convergence rate |
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