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A CLASS OF INEQUALITIES ABOUT BERNSTEIN POLYNOMIAL AND THEIR APPLICATIONS

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【Author】 Deng Chongyang Yang Xunnian Dept.of math.,Zhejiang Univ.,Hangzhou 310027,China Institute of Computer Images and Graphics,Zhejiang Univ.,Hangzhou 310027,China

【摘要】 <正>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.更多还原

【Abstract】 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.更多还原

【关键词】 Bernstein polynomial； inequality； Bézier curve； rational Bézier curve； height； derivative bound；
【Key words】 Bernstein polynomial； inequality； Bézier curve； rational Bézier curve； height； derivative bound；

【基金】 Supported by the National Natural Science Foundation of China (60303015,60333010).

【文献出处】 Applied Mathematics A Journal of Chinese Universities(Series B) ,高校应用数学学报B辑(英文版) , 编辑部邮箱 ,2006年03期

【分类号】O178
【下载频次】21

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