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

Francesco Tulone

Open Access

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

Francesco Tulone

| Nov 13, 2012

Tatra Mountains Mathematical Publications

Volume 49 (2011): Issue 1 (August 2011)

Real Functions ‘10

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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

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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.

ISSN:: 1210-3195
Language:: English

Publication timeframe:: 3 times per year
Journal Subjects:: Mathematics, General Mathematics

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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