参数曲面用插值三角平面片逼近的误差估计

Triangulation, subdivision and intersection of the surface are the basic and common operations in Computer Aided Design and computer graphics. A complicated surface can be approximated by some triangular patches. The key technique of this problem is the estimate of the approximate error, this work improves the previous result and obtains a new result. These results are valuable for improving the triangulation and subdivision algorithm of parametric surface in the design system.  

关于L2空间中的Bernstein-MarkoV不等式

纠正了闵国华（１９９２年）关于Ｌ＾２空间中的Ｂｅｒｎｓｔｅｉｎ－Ｍａｒｋｏｖ不等式的几个错误结果。  

关于Szeg(o)的一个不等式

设pn(x)为[0,∞)上次数不超过n的代数多项式,则有‖p′n(x)e-x‖[0,∞)≤(6.3n+1)‖pn(x)e-x‖[0,∞).若pn(x)同时又是奇函数或偶函数,则有‖p′n(x)e-x‖[0,∞)≤(1.8+7n1/2)‖pn(x)e-x‖[0,∞).  

一类广义有理算子的饱和定理

本文给出了广义有理算子当1＜s≤2时的饱和类.  

Hermite型插值算子对可微函数的逼近

Ｈｅｒｍｉｔｅ型插值算子对可微函数的逼近章仁江（中国计量学院，杭州３１００３４）关键词Ｈｅｒｍｉｔｅ型插值算子，Ｊａｃｏｂｉ多项式．分类号ＡＭＳ（１９９１）４１Ａ／ＣＣＬＯ１７４设（１）＞ｘ１＞ｘ２＞…＞ｘｎ＞（－１），ｘｋ＝ｃｏｓθｋ（ｋ＝１，２，...  

关于Szeg?的一个不等式

设P_n(x)为[0,∞)上次数不超过n的代数多项式,则有‖p′_n(x)e^-x‖_[0,∞)≤(6.3n+1)‖p_n(x)e^-x‖_[0,∞).若p_n(x)同时又是奇函数或偶函数,则有‖p′_n(x)e^-x‖_[0,∞)≤(1.8+7n^1/2)‖p相似文献