<abstract xmlns="http://www.w3.org/1999/xhtml"><p> A Henstock-Kurzweil type integral on a compact zero-dimensional metric space is investigated. It is compared with two Perron type integrals. It is also proved that it covers the Lebesgue integral.</p></abstract>

A Henstock-Kurzweil type integral on a compact zero-dimensional metric space is investigated. It is compared with two Perron type integrals. It is also proved that it covers the Lebesgue integral.

Generality of Henstock-Kurzweil type integral on a compact zero-dimensional metric space

Department of Mathematics and Informatics, University of Palermo, via Archirafi 34, I–90123 Palermo, ITALY

Tatra Mountains Mathematical Publications

A Henstock-Kurzweil type integral on a compact zero-dimensional metric space is investigated. It is compared with two Perron type integrals. It is also proved...

Generality of Henstock-Kurzweil type integral on a compact zero-dimensional metric space

Published Online: Nov 13, 2012

Page range: 81 - 88

DOI: https://doi.org/10.2478/v10127-011-0027-z

Keywords
Henstock-Kurzweil integral, Perron integral, Lebesgue integral, derivation basis, compact zero-dimensional metric space, major and minor function

This content is open access.

Generality of Henstock-Kurzweil type integral on a compact zero-dimensional metric space

Published Online: Nov 13, 2012

Page range: 81 - 88

DOI: https://doi.org/10.2478/v10127-011-0027-z

KeywordsHenstock-Kurzweil integral, Perron integral, Lebesgue integral, derivation basis, compact zero-dimensional metric space, major and minor function

This content is open access.

Keywords
Henstock-Kurzweil integral, Perron integral, Lebesgue integral, derivation basis, compact zero-dimensional metric space, major and minor function