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CONVERGENCE OF DERIVATIVES OF GENERALIZED BERNSTEIN OPERATORS

CONVERGENCE OF DERIVATIVES OF GENERALIZED BERNSTEIN OPERATORS
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摘要 In the present paper, we obtain estimations of convergence rate derivatives of the q-Bernstein polynomials Bn (f, qn ;x) approximating to f' (x) as n →∞, which is a general- ization of that relating the classical case qn = 1. On the other hand, we study the conver- gence properties of derivatives of the limit q-Bernstein operators B∞(f, q;x) as q→1-. In the present paper, we obtain estimations of convergence rate derivatives of the q-Bernstein polynomials Bn (f, qn ;x) approximating to f' (x) as n →∞, which is a general- ization of that relating the classical case qn = 1. On the other hand, we study the conver- gence properties of derivatives of the limit q-Bernstein operators B∞(f, q;x) as q→1-.
出处 《Analysis in Theory and Applications》 2012年第2期135-145,共11页 分析理论与应用(英文刊)
关键词 limit q-Bernstein operators derivative of q-Bernstein polynomial conver-gence rate limit q-Bernstein operators, derivative of q-Bernstein polynomial, conver-gence, rate
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