Measure Theory/Absolute Continuity: Revision history

Jump to navigation Jump to search

Diff selection: Mark the radio buttons of the revisions to compare and hit enter or the button at the bottom.
Legend: (cur) = difference with latest revision, (prev) = difference with preceding revision, m = minor edit.

27 January 2024

  • curprev 06:1906:19, 27 January 2024 imported>Addemf 6,785 bytes +6,785 New resource with "== Absolute Continuity == In light of the previous lesson, the following definition makes sense. Moreover, we hope that the Devil's staircase would not have this property (as that might explain why it fails the equality that we are hoping to ensure, <math>\int_{(a,b)}f'=f(b)-f(a)</math>). {{Definition|name=absolute continuity|value=Let <math>f:[a,b]\to\Bbb R</math> be any function. We say that ''f'' is '''absolutely continuous''' on [''a'',''b''] if it satisfies th..."
Retrieved from "https://en.wikiversity.beta.math.wmflabs.org/wiki/Measure_Theory/Absolute_Continuity"