Matches in SemOpenAlex for { <https://semopenalex.org/work/W2967924623> ?p ?o ?g. }
Showing items 1 to 98 of
98
with 100 items per page.
- W2967924623 abstract "This paper is devoted to the study of a discrepancy-type characteristic -- the fixed volume discrepancy -- of the Fibonacci point set in the unit square. It was observed recently that this new characteristic allows us to obtain optimal rate of dispersion from numerical integration results. This observation motivates us to thoroughly study this new version of discrepancy, which seems to be interesting by itself. The new ingredient of this paper is the use of the average over the shifts of hat functions instead of taking the supremum over the shifts. We show that this change in the setting results in an improvement of the upper bound for the smooth fixed volume discrepancy, similarly to the well-known results for the usual $L_p$-discrepancy. Interestingly, this shows that ``bad boxes'' for the usual discrepancy cannot be ``too small''. The known results on smooth discrepancy show that the obtained bounds cannot be improved in a certain sense." @default.
- W2967924623 created "2019-08-22" @default.
- W2967924623 creator A5088907596 @default.
- W2967924623 creator A5089517099 @default.
- W2967924623 date "2019-08-13" @default.
- W2967924623 modified "2023-09-27" @default.
- W2967924623 title "On the fixed volume discrepancy of the Fibonacci sets in the integral norms" @default.
- W2967924623 cites W105663092 @default.
- W2967924623 cites W1493107308 @default.
- W2967924623 cites W1820164671 @default.
- W2967924623 cites W1971019328 @default.
- W2967924623 cites W2035853071 @default.
- W2967924623 cites W2051121385 @default.
- W2967924623 cites W2082149578 @default.
- W2967924623 cites W2200643021 @default.
- W2967924623 cites W2300951034 @default.
- W2967924623 cites W2582682870 @default.
- W2967924623 cites W2759571834 @default.
- W2967924623 cites W2766912549 @default.
- W2967924623 cites W2767147771 @default.
- W2967924623 cites W2798679239 @default.
- W2967924623 cites W2904553808 @default.
- W2967924623 cites W2943982496 @default.
- W2967924623 cites W2962946001 @default.
- W2967924623 cites W2962989819 @default.
- W2967924623 cites W3100966797 @default.
- W2967924623 cites W2610187633 @default.
- W2967924623 hasPublicationYear "2019" @default.
- W2967924623 type Work @default.
- W2967924623 sameAs 2967924623 @default.
- W2967924623 citedByCount "1" @default.
- W2967924623 countsByYear W29679246232019 @default.
- W2967924623 crossrefType "posted-content" @default.
- W2967924623 hasAuthorship W2967924623A5088907596 @default.
- W2967924623 hasAuthorship W2967924623A5089517099 @default.
- W2967924623 hasConcept C114614502 @default.
- W2967924623 hasConcept C121332964 @default.
- W2967924623 hasConcept C134306372 @default.
- W2967924623 hasConcept C135692309 @default.
- W2967924623 hasConcept C173734053 @default.
- W2967924623 hasConcept C177264268 @default.
- W2967924623 hasConcept C18903297 @default.
- W2967924623 hasConcept C199360897 @default.
- W2967924623 hasConcept C20556612 @default.
- W2967924623 hasConcept C2524010 @default.
- W2967924623 hasConcept C2777299769 @default.
- W2967924623 hasConcept C33923547 @default.
- W2967924623 hasConcept C41008148 @default.
- W2967924623 hasConcept C61445026 @default.
- W2967924623 hasConcept C62520636 @default.
- W2967924623 hasConcept C7356347 @default.
- W2967924623 hasConcept C86803240 @default.
- W2967924623 hasConcept C95611797 @default.
- W2967924623 hasConceptScore W2967924623C114614502 @default.
- W2967924623 hasConceptScore W2967924623C121332964 @default.
- W2967924623 hasConceptScore W2967924623C134306372 @default.
- W2967924623 hasConceptScore W2967924623C135692309 @default.
- W2967924623 hasConceptScore W2967924623C173734053 @default.
- W2967924623 hasConceptScore W2967924623C177264268 @default.
- W2967924623 hasConceptScore W2967924623C18903297 @default.
- W2967924623 hasConceptScore W2967924623C199360897 @default.
- W2967924623 hasConceptScore W2967924623C20556612 @default.
- W2967924623 hasConceptScore W2967924623C2524010 @default.
- W2967924623 hasConceptScore W2967924623C2777299769 @default.
- W2967924623 hasConceptScore W2967924623C33923547 @default.
- W2967924623 hasConceptScore W2967924623C41008148 @default.
- W2967924623 hasConceptScore W2967924623C61445026 @default.
- W2967924623 hasConceptScore W2967924623C62520636 @default.
- W2967924623 hasConceptScore W2967924623C7356347 @default.
- W2967924623 hasConceptScore W2967924623C86803240 @default.
- W2967924623 hasConceptScore W2967924623C95611797 @default.
- W2967924623 hasLocation W29679246231 @default.
- W2967924623 hasOpenAccess W2967924623 @default.
- W2967924623 hasPrimaryLocation W29679246231 @default.
- W2967924623 hasRelatedWork W1630114681 @default.
- W2967924623 hasRelatedWork W1972924547 @default.
- W2967924623 hasRelatedWork W1987069665 @default.
- W2967924623 hasRelatedWork W1989316387 @default.
- W2967924623 hasRelatedWork W2008739196 @default.
- W2967924623 hasRelatedWork W2016770622 @default.
- W2967924623 hasRelatedWork W2069345011 @default.
- W2967924623 hasRelatedWork W2076751112 @default.
- W2967924623 hasRelatedWork W2079315534 @default.
- W2967924623 hasRelatedWork W2174227113 @default.
- W2967924623 hasRelatedWork W2184576274 @default.
- W2967924623 hasRelatedWork W2220964178 @default.
- W2967924623 hasRelatedWork W2245078627 @default.
- W2967924623 hasRelatedWork W2335722707 @default.
- W2967924623 hasRelatedWork W2782586632 @default.
- W2967924623 hasRelatedWork W2964252761 @default.
- W2967924623 hasRelatedWork W3009267005 @default.
- W2967924623 hasRelatedWork W3010856837 @default.
- W2967924623 hasRelatedWork W3028094717 @default.
- W2967924623 hasRelatedWork W3104515141 @default.
- W2967924623 isParatext "false" @default.
- W2967924623 isRetracted "false" @default.
- W2967924623 magId "2967924623" @default.
- W2967924623 workType "article" @default.