On Koksma-Hlawka inequality
classification
🧮 math.FA
keywords
inequalityfunctionshlawkakoksmaomegasmoothappliesapply
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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 $f\chi_{\Omega}$, with $f$ smooth and $\Omega $ a Borel subset of $[0,1]^{d}$.
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