二元函数的一个磨光算子  

A Polishing Operator of Binary Function

作　　者：焦光虹[1] 崔明根[1] 叶琳 

机构地区：[1]哈尔滨工业大学数学系

出　　处：《哈尔滨工业大学学报》1995年第4期8-11,共4页Journal of Harbin Institute of Technology

摘　　要：给出了一个新的二元函数磨光公式，与文［１］中所给出的逼近阶０（ｈ２＋ｌ２）的公式相比较，逼近精度大大提高，在相同节点及计算量情形下，达到０（ｈ４＋ｌ４）阶，具有保凸性质。A new polishing operator of binary function is presented. By comparison with the approximate degree 0(h2+12) of the formula presented in [1], the accuracy is raised so highly that in the condition of not inereasing the nodes and the amount of computation, the approximate degree can be achieved to 0(h2+12), and the convexity can be guaranteed.

关 键 词：保凸性 逼近阶 二元函数 函数逼近 磨光算子 

分 类 号：O241.5[理学—计算数学]