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关于Bernstein多项式的一类不等式及其应用
引用本文:邓重阳,杨勋年. 关于Bernstein多项式的一类不等式及其应用[J]. 高校应用数学学报(英文版), 2006, 21(3): 350-356. DOI: 10.1007/s11766-003-0012-7
作者姓名:邓重阳  杨勋年
作者单位:浙江大学;浙江大学
摘    要:In this paper a class of new inequalities about Bernstein polynomial is established. With these inequalities,the estimation of heights,the derivative bounds of Bézier curves and rational Bézier curves can be improved greatly.

关 键 词:Bernstein polynomial  inequality  Bézier curve  rational Bézier curve  height  derivative bound
收稿时间:2005-01-08

A class of inequalities about bernstein polynomial and their applications
Deng Chongyang,Yang Xunnian. A class of inequalities about bernstein polynomial and their applications[J]. Applied Mathematics A Journal of Chinese Universities, 2006, 21(3): 350-356. DOI: 10.1007/s11766-003-0012-7
Authors:Deng Chongyang  Yang Xunnian
Affiliation:(1) Dept. of math., Zhejiang Univ., 310027 Hangzhou, China;(2) Institute of Computer Images and Graphics, Zhejiang Univ., 310027 Hangzhou, China
Abstract:In this paper a class of new inequalities about Bernstein polynomial is established.
Keywords:Bernstein polynomial  inequality  Bézier curve  rational Bézier curve  height  derivative bound
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