基于伯恩斯坦多项式的一类不等式及其应用  

A Class of Inequalities Based on Bernstein Polynomials and Their Applications

作　　者：张久廷 ZHANG Jiu- ting(Institute of Technology,Chaoyang Radio and Television University,Chaoyang 122000,Liaoning,China)

机构地区：[1]朝阳广播电视大学理工系,辽宁朝阳122000

出　　处：《内蒙古师范大学学报（自然科学汉文版）》2018年第3期199-202,共4页Journal of Inner Mongolia Normal University(Natural Science Edition)

基　　金：辽宁省社会科学基金资助项目(2014XH01-7)

摘　　要：针对实际应用中B′ezier曲线和有理B′ezier曲线的边界估计问题,建立了一类Bernstein多项式的不等式,使B′ezier曲线和有理B′ezier曲线的边界估计得到了提升.实际应用表明,改进的方法优于现有的B′ezier曲线和有理B′ezier曲线高度估计方法.In order to solve the problem of boundary estimation of B′ezier curve and rational B′ezier curve in practice,a class of Bernstein polynomial inequalities is established.By constructing a series of inequalities on Bernstein polynomial,the boundary estimation of B′ezier curves and rational B′ezier curves is improved.The practical application shows that the improved method in this paper is superior to the existing B′ezier curve and rational B′ezier curve height estimation method.

关 键 词：有理BÉZIER曲线 高度估计 矢量估计 伯恩斯坦多项式 不等式 

分 类 号：O174[理学—数学]