The irregular Cantor sets Ce ([0, 1]) and Cπ ([0, 1]), and the Cantor- Lebesgue irregular functions Ge and Gπ-Reference-Cited by-同舟云学术

The irregular Cantor sets Ce ([0, 1]) and Cπ ([0, 1]), and the Cantor- Lebesgue irregular functions Ge and Gπ

Published:2023-09-15 Issue: Volume:3 Page:29-31
ISSN:2732-9941
Container-title:PROOF
language:en
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Author:

Yaremenko Mykola¹

Affiliation:

1. The National Technical University of Ukraine, Kyiv 04213, Kyiv, UKRAINE

Abstract

In this article, we introduce and study a new class of perfect nowhere-dense sets, which are not selfsimilar in any subset, also, we constructed the correspondent singular functions. We construct a twodimensional irregular Cantor set Ce,π ([0, 1]) on the real plane.

Publisher

World Scientific and Engineering Academy and Society (WSEAS)

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