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arXiv · 1106.4673

On Koksma-Hlawka inequality

L. Brandolini·L. Colzani·G. Gigante·G. Travaglini
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Abstract

The classical Koksma Hlawka inequality does not apply to functions with simple discontinuities. Here we state a Koksma Hlawka type inequality which applies to piecewise smooth functions $fχ_Ω$, with $f$ smooth and $Ω$ a Borel subset of $[0,1]^{d}$.

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L. Brandolini, L. Colzani, G. Gigante, G. Travaglini. 2011-06-23. On Koksma-Hlawka inequality. https://arxiv.org/abs/1106.4673

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