{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,13]],"date-time":"2026-02-13T11:06:31Z","timestamp":1770980791436,"version":"3.50.1"},"reference-count":0,"publisher":"The Electronic Journal of Combinatorics","issue":"1","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Electron. J. Combin."],"abstract":"<jats:p>The extreme or unanchored discrepancy is the geometric discrepancy of point sets in the $d$-dimensional unit cube with respect to the set system of axis-parallel boxes. For $2\\leq p  &lt;  \\infty$ we provide upper bounds for the average $L^p$-extreme discrepancy.  With these bounds we are able to derive upper bounds for the inverse of the $L^\\infty$-extreme discrepancy with optimal dependence on the dimension $d$ and explicitly given constants.<\/jats:p>","DOI":"10.37236\/1951","type":"journal-article","created":{"date-parts":[[2020,1,11]],"date-time":"2020-01-11T00:09:10Z","timestamp":1578701350000},"source":"Crossref","is-referenced-by-count":8,"title":["Bounds for the Average $L^p$-Extreme and the $L^\\infty$-Extreme Discrepancy"],"prefix":"10.37236","volume":"12","author":[{"given":"Michael","family":"Gnewuch","sequence":"first","affiliation":[]}],"member":"23455","published-online":{"date-parts":[[2005,10,25]]},"container-title":["The Electronic Journal of Combinatorics"],"original-title":[],"link":[{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/download\/v12i1r54\/pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/download\/v12i1r54\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,1,17]],"date-time":"2020-01-17T23:40:27Z","timestamp":1579304427000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/view\/v12i1r54"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2005,10,25]]},"references-count":0,"journal-issue":{"issue":"1","published-online":{"date-parts":[[2005,1,7]]}},"URL":"https:\/\/doi.org\/10.37236\/1951","relation":{},"ISSN":["1077-8926"],"issn-type":[{"value":"1077-8926","type":"electronic"}],"subject":[],"published":{"date-parts":[[2005,10,25]]},"article-number":"R54"}}