Several comments on the Henstock-Kurzweil and McShane integrals of vector-valued functions
Czechoslovak Mathematical Journal, Tome 61 (2011) no. 4, pp. 1091-1106
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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.
DOI :
10.1007/s10587-011-0050-x
Classification :
26A39, 28B05
Keywords: Henstock-Kurzweil integral; McShane integral; Pettis integral; $AC$; $AC_{*}$; and $AC_{\delta }$ functions; Alexiewicz norm
Keywords: Henstock-Kurzweil integral; McShane integral; Pettis integral; $AC$; $AC_{*}$; and $AC_{\delta }$ functions; Alexiewicz norm
@article{10_1007_s10587_011_0050_x,
author = {Naralenkov, Kirill},
title = {Several comments on the {Henstock-Kurzweil} and {McShane} integrals of vector-valued functions},
journal = {Czechoslovak Mathematical Journal},
pages = {1091--1106},
publisher = {mathdoc},
volume = {61},
number = {4},
year = {2011},
doi = {10.1007/s10587-011-0050-x},
mrnumber = {2886259},
zbl = {1249.26010},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.1007/s10587-011-0050-x/}
}
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 SP - 1091 EP - 1106 VL - 61 IS - 4 PB - mathdoc UR - http://geodesic.mathdoc.fr/articles/10.1007/s10587-011-0050-x/ DO - 10.1007/s10587-011-0050-x LA - en ID - 10_1007_s10587_011_0050_x ER -
%0 Journal Article %A Naralenkov, Kirill %T Several comments on the Henstock-Kurzweil and McShane integrals of vector-valued functions %J Czechoslovak Mathematical Journal %D 2011 %P 1091-1106 %V 61 %N 4 %I mathdoc %U http://geodesic.mathdoc.fr/articles/10.1007/s10587-011-0050-x/ %R 10.1007/s10587-011-0050-x %G en %F 10_1007_s10587_011_0050_x
Naralenkov, Kirill. Several comments on the Henstock-Kurzweil and McShane integrals of vector-valued functions. Czechoslovak Mathematical Journal, Tome 61 (2011) no. 4, pp. 1091-1106. doi: 10.1007/s10587-011-0050-x
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