A note on $ρ$-upper continuous functions

In: Tatra Mountains Mathematical Publications, vol. 44, no. 3

Stanisław Kowalczyk - Katarzyna Nowakowska

Detaily:

Rok, strany: 2009, 153 - 158

Kľúčové slová:

density of a set at a point, continuous functions, measurable functions, path continuity, Denjoy property, Baire class 1

Full text

O článku:

In the present paper, we introduce the notion of classes of $ρ$-upper continuous functions. We show that $ρ$-upper continuous functions are Lebesgue measurable and, for $ρ<((1) / (2))$, may not belong to Baire class 1. We also prove that a function with Denjoy property can be non-measurable.

Ako citovať:

ISO 690:

Kowalczyk, S., Nowakowska, K. 2009. A note on $ρ$-upper continuous functions. In Tatra Mountains Mathematical Publications, vol. 44, no.3, pp. 153-158. 1210-3195.

APA:

Kowalczyk, S., Nowakowska, K. (2009). A note on $ρ$-upper continuous functions. Tatra Mountains Mathematical Publications, 44(3), 153-158. 1210-3195.