<abstract xmlns="http://www.w3.org/1999/xhtml"><p> In this note, we introduce the notion of regular density. Next, we prove that <italic>x </italic>∈<italic></italic>ℝ is the regular density point of a measurable set <italic>A </italic>if and only if it is an O’Malley point of <italic>A</italic>.</p></abstract>

In this note, we introduce the notion of regular density. Next, we prove that x ∈ℝ is the regular density point of a measurable set A if and only if it is an O’Malley point of A.

On points of the regular density

Faculty of Mathematics University of Łódź Banacha 22 PL–90-238 Łódź POLAND

Tatra Mountains Mathematical Publications

{"article-title":"On points of the regular density"}

In this note, we introduce the notion of regular density. Next, we prove that x ∈ℝ is the regular density point of a measurable set A if and only if it is an...

On points of the regular density

Published Online: Nov 19, 2012

Page range: 9 - 17

DOI: https://doi.org/10.2478/v10127-012-0021-0

Keywords
density, variation, O’Malley points.

This content is open access.

On points of the regular density

Published Online: Nov 19, 2012

Page range: 9 - 17

DOI: https://doi.org/10.2478/v10127-012-0021-0

Keywordsdensity, variation, O’Malley points.

This content is open access.

Keywords
density, variation, O’Malley points.