In: Tatra Mountains Mathematical Publications, vol. 44, no. 3
Stanisław Kowalczyk - Katarzyna Nowakowska
Details:
Year, pages: 2009, 153 - 158
Keywords:
density of a set at a point,
continuous functions, measurable functions, path continuity,
Denjoy property, Baire class 1
About article:
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.
How to cite:
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.