摘要
本文给出的新结果是:(1)三角域上Franklin函数的表达;(2)三角域上Rademacher函数的定义;(3)三角域上Walsh函数的构造.研究中采用面积坐标和二进坐标分离技巧,完成了对Walsh函数的定序.
Some new researches are reported in this paper: ( 1 ) The representation of Franklin system over a triangle; (2) The definition of Rademacher system over a triangle; (3)The construction of Walsh system The important skill used here is the application of so-called area coordi nates with binary representation.
出处
《北方工业大学学报》
1990年第3期1-7,共7页
Journal of North China University of Technology
基金
国家自然科学基金资助项目
关键词
正交函数
瓦尔什函数
三角域
逼近
orthogonal function, Walsh functions
triangular field, area coordinates, L_2 approximation, uniform approximation
