Denjoy–Koksma inequality
type: Thing
description: inequality applying to Weyl sums of functions of bounded variation
additional property: PropertyValue
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additional property: PropertyValue
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additional property: PropertyValue
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  value: Arnaud Denjoy
additional property: PropertyValue
  property ID: P138
  value: Jurjen Ferdinand Koksma
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additional property: PropertyValue
  property ID: P2534
  value: \left|\sum_{i=0}^{q-1} \phi f^i(x) - q\int_T \phi \, d\mu \right| \leqslant \operatorname{Var}(\phi)
additional property: PropertyValue
  property ID: P6104
  value: WikiProject Mathematics
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  pageview trend:
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    value label: inequality
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    value label: Jurjen Ferdinand Koksma
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  P2534:
    value: \left|\sum_{i=0}^{q-1} \phi f^i(x) - q\int_T \phi \, d\mu \right| \leqslant \operatorname{Var}(\phi)
    source count: 0
    confidence: 0.0
  P6104:
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meta:
  wikidata id: Q5257887
  domain: inequality
  level: standard
  html url: https://4ort.xyz/entity/denjoy-koksma-inequality
  markdown url: https://4ort.xyz/entity/denjoy-koksma-inequality.md
  facts url summary: https://4ort.xyz/entity/denjoy-koksma-inequality/facts.json
  facts url standard: https://4ort.xyz/entity/denjoy-koksma-inequality/facts.json
  facts url full: https://4ort.xyz/entity/denjoy-koksma-inequality/facts.json
  data source: Wikidata (CC0 / public domain)
  license: https://creativecommons.org/publicdomain/zero/1.0/
  api version: v1
  served at: 2026-08-18T06:33:20.671689Z
  entity updated at: 2026-05-03T23:45:09.469384+00:00Z
  entity created at: 2026-05-03T15:08:17.491066+00:00Z