## Abstract

We prove that for the space of functions with mixed first derivatives bounded in L_{1} norm, the weighted integration problem over bounded or unbounded regions is equivalent to the corresponding classical integration problem over the unit cube, provided that the integration domain and weight have product forms. This correspondence yields tractability of the general weighted integration problem.

Original language | English |
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Pages (from-to) | 1885-1901 |

Number of pages | 17 |

Journal | Mathematics of Computation |

Volume | 73 |

Issue number | 248 |

DOIs | |

Publication status | Published - Oct 2004 |

Externally published | Yes |

## Scopus Subject Areas

- Algebra and Number Theory
- Computational Mathematics
- Applied Mathematics

## User-Defined Keywords

- Discrepancy
- quasi-Monte Carlo methods
- Tractability
- Weighted integration

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