随机变量函数正交代数多项式的Fourier级数展开

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

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.