Matches in SemOpenAlex for { <https://semopenalex.org/work/W3118509547> ?p ?o ?g. }
Showing items 1 to 71 of
71
with 100 items per page.
- W3118509547 endingPage "72" @default.
- W3118509547 startingPage "39" @default.
- W3118509547 abstract "Abstract In 1986, Proinov published an explicit lower bound for the diaphony of finite and infinite sequences of points contained in the d− dimensional unit cube [Proinov, P. D.: On irregularities of distribution , C. R. Acad. Bulgare Sci. 39 (1986), no. 9, 31–34]. However, his widely cited paper does not contain the proof of this result but simply states that this will appear elsewhere. To the best of our knowledge, this proof was so far only available in a monograph of Proinov written in Bulgarian [Proinov, P. D.: Quantitative Theory of Uniform Distribution and Integral Approximation , University of Plovdiv, Bulgaria (2000)]. The first contribution of our paper is to give a self contained version of Proinov’s proof in English. Along the way, we improve the explicit asymptotic constants implementing recent, and corrected results of [Hinrichs, A.—Markhasin, L.: On lower bounds for the ℒ 2 -discrepancy , J. Complexity 27 (2011), 127–132.] and [Hinrichs, A.—Larcher, G.: An improved lower bound for the ℒ 2 -discrepancy , J. Complexity 34 (2016), 68–77]. (The corrections are due to a note in [Hinrichs, A.—Larcher, G. An improved lower bound for the ℒ 2 -discrepancy , J. Complexity 34 (2016), 68–77].) Finally, as a main result, we use the method of Proinov to derive an explicit lower bound for the dyadic diaphony of finite and infinite sequences in a similar fashion." @default.
- W3118509547 created "2021-01-18" @default.
- W3118509547 creator A5054790845 @default.
- W3118509547 date "2020-12-01" @default.
- W3118509547 modified "2023-10-17" @default.
- W3118509547 title "On Proinov’s Lower Bound for the Diaphony" @default.
- W3118509547 cites W1847575065 @default.
- W3118509547 cites W1993228179 @default.
- W3118509547 cites W2035463901 @default.
- W3118509547 cites W2077055049 @default.
- W3118509547 cites W2082149578 @default.
- W3118509547 cites W2186731506 @default.
- W3118509547 cites W2245078627 @default.
- W3118509547 cites W2253655697 @default.
- W3118509547 cites W2333786694 @default.
- W3118509547 cites W2963166107 @default.
- W3118509547 cites W2963473207 @default.
- W3118509547 cites W2963941511 @default.
- W3118509547 cites W4236197236 @default.
- W3118509547 cites W598051755 @default.
- W3118509547 doi "https://doi.org/10.2478/udt-2020-0010" @default.
- W3118509547 hasPublicationYear "2020" @default.
- W3118509547 type Work @default.
- W3118509547 sameAs 3118509547 @default.
- W3118509547 citedByCount "4" @default.
- W3118509547 countsByYear W31185095472021 @default.
- W3118509547 countsByYear W31185095472022 @default.
- W3118509547 countsByYear W31185095472023 @default.
- W3118509547 crossrefType "journal-article" @default.
- W3118509547 hasAuthorship W3118509547A5054790845 @default.
- W3118509547 hasBestOaLocation W31185095471 @default.
- W3118509547 hasConcept C110121322 @default.
- W3118509547 hasConcept C114614502 @default.
- W3118509547 hasConcept C134306372 @default.
- W3118509547 hasConcept C138885662 @default.
- W3118509547 hasConcept C2780343019 @default.
- W3118509547 hasConcept C33923547 @default.
- W3118509547 hasConcept C41895202 @default.
- W3118509547 hasConcept C77553402 @default.
- W3118509547 hasConceptScore W3118509547C110121322 @default.
- W3118509547 hasConceptScore W3118509547C114614502 @default.
- W3118509547 hasConceptScore W3118509547C134306372 @default.
- W3118509547 hasConceptScore W3118509547C138885662 @default.
- W3118509547 hasConceptScore W3118509547C2780343019 @default.
- W3118509547 hasConceptScore W3118509547C33923547 @default.
- W3118509547 hasConceptScore W3118509547C41895202 @default.
- W3118509547 hasConceptScore W3118509547C77553402 @default.
- W3118509547 hasIssue "2" @default.
- W3118509547 hasLocation W31185095471 @default.
- W3118509547 hasLocation W31185095472 @default.
- W3118509547 hasLocation W31185095473 @default.
- W3118509547 hasLocation W31185095474 @default.
- W3118509547 hasOpenAccess W3118509547 @default.
- W3118509547 hasPrimaryLocation W31185095471 @default.
- W3118509547 hasRelatedWork W1978042415 @default.
- W3118509547 hasRelatedWork W2014420881 @default.
- W3118509547 hasRelatedWork W2017331178 @default.
- W3118509547 hasRelatedWork W2031152868 @default.
- W3118509547 hasRelatedWork W2038812594 @default.
- W3118509547 hasRelatedWork W2359118052 @default.
- W3118509547 hasRelatedWork W2976797620 @default.
- W3118509547 hasRelatedWork W3086542228 @default.
- W3118509547 hasRelatedWork W3098813812 @default.
- W3118509547 hasRelatedWork W4287814523 @default.
- W3118509547 hasVolume "15" @default.
- W3118509547 isParatext "false" @default.
- W3118509547 isRetracted "false" @default.
- W3118509547 magId "3118509547" @default.
- W3118509547 workType "article" @default.