A note on ρ-upper continuous functions-Reference-Cited by-同舟云学术

A note on ρ-upper continuous functions

Published:2009-12-01 Issue:1 Volume:44 Page:153-158
ISSN:1210-3195
Container-title:Tatra Mountains Mathematical Publications
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Author:

Kowalczyk Stanisław,Nowakowska Katarzyna

Abstract

Abstract 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.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

Link

https://www.degruyter.com/view/j/tmmp.2009.44.issue-1/v10127-009-0055-0/v10127-009-0055-0.pdf

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