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三次Hermite样条的误差界
ERROR BOUNDS FOR CUBIC HERMITE SPLINE
【摘要】 <正> 设 H(x)是函数 f(x)在区间[a,b]上关于分划的三次Hermite样条.当f∈C~r[a,b](r=1,2,3,4)时,[1]曾给误差e(x)=f(x)-H(x)以如下的估计:
【Abstract】 Let f(r)(x)(r = 1,2,3) be uniformly continued or bounded variation. In this article,we have obtained some optimal bound, of e(k)(x) for 0 ≤k≤ min {r, 3}, where e(k)(x)is the k degree derivative of the cubic Hermite spline error e(x).
- 【文献出处】 计算数学 ,Mathematica Numerica Sinica , 编辑部邮箱 ,1982年02期
- 【被引频次】3
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