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Approximation of Generalized Bernstein Operators
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作者 Xiru Yang Chungou Zhang Yingdian Ma 《Analysis in Theory and Applications》 2014年第2期205-213,共9页
This paper is devoted to study direct and converse approximation theorems of the generalized Bemstein operators Cn (f, sn,x) via so-called unified modulus ωφλ^2 (f,t), 0 ≤ λ ≤1. We obtain main results as fol... This paper is devoted to study direct and converse approximation theorems of the generalized Bemstein operators Cn (f, sn,x) via so-called unified modulus ωφλ^2 (f,t), 0 ≤ λ ≤1. We obtain main results as followsωφλ^2 (f,t)=O(t^α)←→|Cn(f,sn,x)-f(x)|=O((n^-1/2δn^1-λ(x))^α),where δn^2(x)=max{φ^2(x),1/n} and 0〈α〈2. 展开更多
关键词 Bernstein type operator Ditzian-Totik modulus direct and converse approximation theorem.
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APPROXIMATE MERGING OF BE ZIER CURVES
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作者 Tong Ruofeng Hu Shimin Wang Guozhao 《Computer Aided Drafting,Design and Manufacturing》 1996年第1期1-7,共2页
In this paper, a simple method for merging of Bezier curves is presented by using constrained optimization method. The use of the “discrete” coefficient norm in L2 sense greatly simplifies the merging process. Furth... In this paper, a simple method for merging of Bezier curves is presented by using constrained optimization method. The use of the “discrete” coefficient norm in L2 sense greatly simplifies the merging process. Furthermore, continuity at the endpoint of curves are considered in the merging process. 展开更多
关键词 ss: CAD systems Bezier curves approximate conversion MERGING
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