Several comments on the Henstock-Kurzweil and McShane integrals of vector-valued functions

Kirill Naralenkov

Czechoslovak Mathematical Journal (2011)

  • Volume: 61, Issue: 4, page 1091-1106
  • ISSN: 0011-4642

Abstract

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We make some comments on the problem of how the Henstock-Kurzweil integral extends the McShane integral for vector-valued functions from the descriptive point of view.

How to cite

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Naralenkov, Kirill. "Several comments on the Henstock-Kurzweil and McShane integrals of vector-valued functions." Czechoslovak Mathematical Journal 61.4 (2011): 1091-1106. <http://eudml.org/doc/196614>.

@article{Naralenkov2011,
abstract = {We make some comments on the problem of how the Henstock-Kurzweil integral extends the McShane integral for vector-valued functions from the descriptive point of view.},
author = {Naralenkov, Kirill},
journal = {Czechoslovak Mathematical Journal},
keywords = {Henstock-Kurzweil integral; McShane integral; Pettis integral; $AC$; $AC_\{*\}$; and $AC_\{\delta \}$ functions; Alexiewicz norm; Henstock-Kurzweil integral; McShane integral; Pettis integral; function; function; and function; Alexiewicz norm},
language = {eng},
number = {4},
pages = {1091-1106},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Several comments on the Henstock-Kurzweil and McShane integrals of vector-valued functions},
url = {http://eudml.org/doc/196614},
volume = {61},
year = {2011},
}

TY - JOUR
AU - Naralenkov, Kirill
TI - Several comments on the Henstock-Kurzweil and McShane integrals of vector-valued functions
JO - Czechoslovak Mathematical Journal
PY - 2011
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 61
IS - 4
SP - 1091
EP - 1106
AB - We make some comments on the problem of how the Henstock-Kurzweil integral extends the McShane integral for vector-valued functions from the descriptive point of view.
LA - eng
KW - Henstock-Kurzweil integral; McShane integral; Pettis integral; $AC$; $AC_{*}$; and $AC_{\delta }$ functions; Alexiewicz norm; Henstock-Kurzweil integral; McShane integral; Pettis integral; function; function; and function; Alexiewicz norm
UR - http://eudml.org/doc/196614
ER -

References

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