6533b85ffe1ef96bd12c26d7
RESEARCH PRODUCT
A new full descriptive characterization of Denjoy-Perron integral
B. BongiornoLuisa Di PiazzaV. Skvortsovsubject
Pure mathematicsHenstock–Kurzweil integralMathematical analysisMeasure (physics)Riemann integralFunction (mathematics)Absolute continuitysymbols.namesakesymbolsAlmost everywhereGeometry and TopologyDaniell integralDifferentiable functionAnalysisMathematicsdescription
It is proved that the absolute continuity of the variational measure generated by an additive interval function \(F\) implies the differentiability almost everywhere of the function \(F\) and gives a full descriptive characterization of the Denjoy-Perron integral.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 1995-01-01 |