Tong Hengqing. Estimates of Density Derivatives by Kernal Functions of Orthogonal Polynomials[J]. Geomatics and Information Science of Wuhan University, 1996, 21(3): 302-305.
Citation: Tong Hengqing. Estimates of Density Derivatives by Kernal Functions of Orthogonal Polynomials[J]. Geomatics and Information Science of Wuhan University, 1996, 21(3): 302-305.

Estimates of Density Derivatives by Kernal Functions of Orthogonal Polynomials

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  • Received Date: April 08, 1996
  • Published Date: March 04, 1996
  • This paper proposes a kind of kernel function constructed by orthogonal polynomials. It is continuous on the total real axis and its support set is finite. The estimates of density derivatives constructed by the kernel function can keep better convergence rates and continuity,and the order of polynomial does not change when the order of derivatives is changed.
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