Definition of Denjoy. Meaning of Denjoy. Synonyms of Denjoy

- Arnaud Denjoy (French: [aʁno dɑ̃ʒwa]; 5 January 1884 – 21 January 1974) was a French mathematician. Denjoy was born in Auch, Gers. His contributions include...
- (narrow) Denjoy integral (pronounced [dɑ̃ʒwa]), Luzin integral or Perron integral, but not to be confused with the more general wide Denjoy integral –...
- The Denjoy integral in mathematics can refer to two closely related integrals connected to the work of Arnaud Denjoy: the narrow Denjoy integral, or just...
- mathematics, Denjoy's theorem may refer to several theorems proved by Arnaud Denjoy, including Denjoy–Carleman theorem Denjoy–Koksma inequality Denjoy–Luzin...
- The Denjoy–Carleman–Ahlfors theorem states that the number of asymptotic values attained by a non-constant entire function of order ρ on curves going outwards...
- In topology, the Denjoy–Riesz theorem states that every compact set of totally disconnected points in the Euclidean plane can be covered by a continuous...
- In mathematics, the Denjoy–Luzin theorem, introduced independently by Denjoy (1912) and Luzin (1912) states that if a trigonometric series converges absolutely...
- M=\{M_{k}\}_{k=0}^{\infty }} be a sequence of positive real numbers. Then the Denjoy-Carleman class of functions CM([a,b]) is defined to be those f ∈ C∞([a,b])...
- functions between metric spaces. The Stepanov-Denjoy theorem provides a remarkable characterization: Stepanov-Denjoy theorem: A function is measurable if and...
- mathematics, the Denjoy–Young–Saks theorem gives some possibilities for the Dini derivatives of a function that hold almost everywhere. Denjoy (1915) proved...