Several comments on the Henstock-Kurzweil and McShane integrals of vector-valued functions
Czechoslovak Mathematical Journal, Tome 61 (2011) no. 4, pp. 1091-1106.

Voir la notice de l'article dans Czech Digital Mathematics Library

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
Mots-clés : 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 = {https://geodesic-test.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  - https://geodesic-test.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 https://geodesic-test.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. https://geodesic-test.mathdoc.fr/articles/10.1007/s10587-011-0050-x/

Cité par Sources :