A note on ρ-upper continuous functions
Open Access
|Nov 2012Abstract
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.
Language: English
Page range: 153 - 158
Published on: Nov 12, 2012
Published by: Slovak Academy of Sciences, Mathematical Institute
In partnership with: Paradigm Publishing Services
Publication frequency: 3 times per year
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© 2012 Stanisław Kowalczyk, Katarzyna Nowakowska, published by Slovak Academy of Sciences, Mathematical Institute
This work is licensed under the Creative Commons License.