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

Error Estimates for Fibonacci Quadrature Formulas for Smooth Classes of Functions with Bounded Mixed Difference

考虑对具有有界混合差分的二元光滑函数类Ｂｐ，θｒ（１θ＜∞）的求积公式，本文证明了Ｆｉｂｏｎａｃｃｉ求积公式是渐近最优的。

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.