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区间Wang-Said型广义Ball曲线的降阶

Degree Reduction of Interval Generalized Ball Curves of Wang-Said Type

  • 摘要: 定义了区间Wang-Said型广义Ball曲线(WSGB曲线),它可作为误差控制和产品检验的有效工具;采用3种方法讨论了其降阶逼近问题,即扰动法、利用Chebyshev多项式导出的最佳一致逼近算法和插值端点的最佳一致逼近方法;给出了各种处理方法的显式误差表示.最后结合数值实例分析了3种方法的优劣.

     

    Abstract: In this paper,interval generalized Ball curves of Wang-Said type(WSGB) is proposed,it can serve as an effective tool for error control and product testing,three methods are investigated for degree reduction of WSGB,namely,perturbation,best uniform approximation method and constrained best uniform approximation method obtained by Chebyshev polynomial.The explicit representations of the corresponding errors are given,and the advantages and disadvantages of these methods are discussed by some numerical examples.

     

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