| 对逐段凸函数逼近的Jackson型估计 |
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| 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. |
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| 作者姓名： | 张玲玲 |
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| 作者单位： | 山西矿业学院基础部 |
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| 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。
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| 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 |
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| Authors: | Zhang Lingling |
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| Affiliation: | Dept. of Basic Courses |
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| 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. |
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| Keywords: | piecewise convex inlerpolation degree of approxmation jackson type estionates |
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