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1. On Koksma-Hlawka inequality

Author

Brandolini, L., Colzani, L., Gigante, G., and Travaglini, G.

Subjects
Mathematics - Functional Analysis, 41A55, 11K38
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 $f\chi_{\Omega}$, with $f$ smooth and $\Omega $ a Borel subset of $[0,1]^{d}$.

Published
2011

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