论文标题
数值集成没有平滑度的假设
Numerical integration without smoothness assumption
论文作者
论文摘要
我们考虑在类中的数值集成,为此我们不施加任何平滑度假设。我们说明了非线性近似,特别是贪婪的近似,即使在没有平滑度假设的一般环境中,也可以保证某些数值集成误差的衰减率。
We consider numerical integration in classes, for which we do not impose any smoothness assumptions. We illustrate how nonlinear approximation, in particular greedy approximation, allows us to guarantee some rate of decay of errors of numerical integration even in such a general setting with no smoothness assumptions.