| Fibonacci求积公式对具有有界混合差分的光滑函数类的误差估计 |
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| 引用本文： | 汪和平.Fibonacci求积公式对具有有界混合差分的光滑函数类的误差估计[J].数学进展,1997,26(2):123-128. |
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| 作者姓名： | 汪和平 |
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| 作者单位： | 北京师范大学数学系 |
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| 摘 要： | 考虑对具有有界混合差分的二元光滑函数类Ｂ＾γ，ｐ，θ的求积公式，本文证明了Ｆｉｂｏｎａｃｃｉ求积公式是渐近最优的，并求出了春误差的渐近最优价。
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| 关 键 词： | 求积公式 光滑函数 Fibonacci数列 误差估计 |
Error Estimates for Fibonacci Quadrature Formulas for Smooth Classes of Functions with Bounded Mixed Difference |
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| Wang Heping.Error Estimates for Fibonacci Quadrature Formulas for Smooth Classes of Functions with Bounded Mixed Difference[J].Advances in Mathematics,1997,26(2):123-128. |
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| Authors: | Wang Heping |
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| Abstract: | Quadrature formulas are considered for 2 dimensional smooth classes of functions with bounded mixed difference. In this paper, we prove that Fibonacci quadrature formulas are asymptotically optimal, and the optimal order of the error estimates is obtained. |
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| Keywords: | Fibonacci quadrature formulas Besov norm the general quadrature formulas |
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