随机变量函数正交代数多项式的Fourier级数展开

陈乃辉; 田鑫

陈乃辉, 田鑫. 随机变量函数正交代数多项式的Fourier级数展开[J]. 北京工业大学学报, 2007, 33(10): 1107-1110.

引用本文:

陈乃辉, 田鑫. 随机变量函数正交代数多项式的Fourier级数展开[J]. 北京工业大学学报, 2007, 33(10): 1107-1110.

CHEN Nai-hui, TIAN Xin. Expansion of Fourier Series of Orthogonai Algebraic Polynomial for Function of Random Variable[J]. Journal of Beijing University of Technology, 2007, 33(10): 1107-1110.

Citation:

CHEN Nai-hui, TIAN Xin. Expansion of Fourier Series of Orthogonai Algebraic Polynomial for Function of Random Variable[J]. Journal of Beijing University of Technology, 2007, 33(10): 1107-1110.

随机变量函数正交代数多项式的Fourier级数展开

陈乃辉,
田鑫

Expansion of Fourier Series of Orthogonai Algebraic Polynomial for Function of Random Variable

摘要

摘要: 在随机变量函数逼近论方面获得了如下结果:1)随机变量函数的正交代数多项式的Fourier级数展开;2)条件数学期望的正交代数多项式的Fourier级数表示.

Abstract: The obtained results in the paper are as follows:1)the expansion of Fourier series of orthogonal polynomial for function of rndom variable;2)the representation of Fourier series of orthogonal polynomial for conditional mathematical expectation.

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