| 关于三角域上正交函数的研究 |
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| 引用本文： | 齐东旭. 关于三角域上正交函数的研究[J]. 北方工业大学学报, 1990, 2(3): 1-7 |
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| 作者姓名： | 齐东旭 |
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| 作者单位： | 北方工业大学计算中心 |
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| 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.
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| 关 键 词： | 正交函数 瓦尔什函数 三角域 逼近 |
SOME RESEARCHES ON ORTHOGONAL FUNCTION SYSTEMS OVER A TRIANGULAR FIELD |
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| Qi Dongxu. SOME RESEARCHES ON ORTHOGONAL FUNCTION SYSTEMS OVER A TRIANGULAR FIELD[J]. Journal of North China University of Technology, 1990, 2(3): 1-7 |
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| Authors: | Qi Dongxu |
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| Affiliation: | Computer & CAD Center |
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| Abstract: | 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. |
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| Keywords: | orthogonal function Walsh functions triangular field area coordinates L_2 approximation uniform approximation |
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