---
res:
  bibo_abstract:
  - Motivated by recent ideas of Harman (Unif. Distrib. Theory, 2010) we develop a
    new concept of variation of multivariate functions on a compact Hausdorff space
    with respect to a collection D of subsets. We prove a general version of the Koksma-Hlawka
    theorem that holds for this notion of variation and discrepancy with respect to
    D. As special cases, we obtain Koksma-Hlawka inequalities for classical notions,
    such as extreme or isotropic discrepancy. For extreme discrepancy, our result
    coincides with the usual Koksma-Hlawka theorem. We show that the space of functions
    of bounded D-variation contains important discontinuous functions and is closed
    under natural algebraic operations. Finally, we illustrate the results on concrete
    integration problems from integral geometry and stereology.@eng
  bibo_authorlist:
  - foaf_Person:
      foaf_givenName: Florian
      foaf_name: Pausinger, Florian
      foaf_surname: Pausinger
      foaf_workInfoHomepage: http://www.librecat.org/personId=2A77D7A2-F248-11E8-B48F-1D18A9856A87
    orcid: 0000-0002-8379-3768
  - foaf_Person:
      foaf_givenName: Anne
      foaf_name: Svane, Anne
      foaf_surname: Svane
  bibo_doi: 10.1016/j.jco.2015.06.002
  bibo_issue: '6'
  bibo_volume: 31
  dct_date: 2015^xs_gYear
  dct_identifier:
  - UT:000362926900001
  dct_language: eng
  dct_publisher: Academic Press@
  dct_title: A Koksma-Hlawka inequality for general discrepancy systems@
...