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对逐段凸函数逼近的Jackson型估计
引用本文:张玲玲. 对逐段凸函数逼近的Jackson型估计[J]. 山西矿业学院学报, 1997, 15(3): 304-307
作者姓名:张玲玲
作者单位:山西矿业学院基础部
摘    要:对不满足文献[1]中定理条件的部分可微函数,在逐段严格凸的条件下,利用插值多项式讨论了其共凸逼近,给出了逼近阶的Jackson型估计,同时还得到了它一、二阶导函数的逼近阶估计式。

关 键 词:逐段凸;插值;逼近阶;Jackson型估计

Jackson type estimates for the degree of approximation for piecewise conves furctions
Zhang Lingling. Jackson type estimates for the degree of approximation for piecewise conves furctions[J]. , 1997, 15(3): 304-307
Authors:Zhang Lingling
Affiliation:Dept. of Basic Courses
Abstract:For some differentiable functions, if they are out of the condition of theorem of , the proplem of coconvex approximation are discussed using interpolation polynomials. Jackson type estimates for degree of coconvex approximation are obtained, and estimates of its first and second derivatives are given.
Keywords:piecewise convex  inlerpolation  degree of approxmation  jackson type estionates
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