关于加权Christoffel函数的估计
Estimation of weighted Christoffel functions.
摘要
用初等的方法求出了 L egendre权的 Christorffel函数的下确界和点态估计式中的常数 ,并给出了 Jacobi权 w(x) =(1- x)α(1+x)β的 Christoffel函数的下界估计 .
This paper gives the lower exact bound and the constant of pointwise estimate of Christoffel functions for Legendre weights. Moreover, it gives the lower bound estimate of Christoffel functions for Jacobi weights.
出处
《浙江大学学报(理学版)》
CAS
CSCD
2001年第5期483-487,共5页
Journal of Zhejiang University(Science Edition)
参考文献3
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1[1]Levin A I, Lubinsky D S. Christoffel functions, orthogonal polynomials and Nevai's conjection[J]. Constr Approx, 1992, 8:463-536.
-
2[2]Szego G. Orthogonal polynomials[M]. New York: American Mathematical Society Colloquium Publications, 1939.
-
3[3]Freud G. On Markov-Bernstein type inequlities and their applications[J]. J Approx Thery, 1977, 19:22-37.