Some characterization of $L^r-$ Henstock-Kurzweil integrable functions

Some characterization of $L^r-$ Henstock-Kurzweil integrable functions

In this article, we discuss few properties of $L^r$-Henstock-Kurzweil (in short $L^r$-HK) integrable functions, introduced by Paul Musial in \cite{MS}. We re-defined $L^r$-bounded variations. We have proved that $L^r$-Henstock-Kurzweil integrable functions are Denjoy integrable.

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Veröffentlicht in:Boletim da Sociedade Paranaense de Matemática 2024-05, Vol.42, p.1-6
1. Verfasser: Kalita, Hemanta
Format: Artikel
Sprache:eng
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Zusammenfassung:In this article, we discuss few properties of $L^r$-Henstock-Kurzweil (in short $L^r$-HK) integrable functions, introduced by Paul Musial in \cite{MS}. We re-defined $L^r$-bounded variations. We have proved that $L^r$-Henstock-Kurzweil integrable functions are Denjoy integrable.
ISSN:0037-8712
2175-1188
DOI:10.5269/bspm.64071