Geodesic
A Full Descriptive Definition of the Gage Integral
Canadian mathematical bulletin, Tome 39 (1996) no. 4, pp. 395-401

Voir la notice de l'article provenant de la source Cambridge

DOI

We consider a specific Riemann type integral, called the gage integral. Using variational measures, we characterize all additive functions of intervals that are indefinite gage integrals. The characterization generalizes the descriptive definition of the classical Denjoy-Perron integral to all dimensions.
DOI : 10.4153/CMB-1996-047-x
Mots-clés : 26A39, 26B30 
Bongiorno, B.; Pfeffer, W. F.; Thomson, B. S. A Full Descriptive Definition of the Gage Integral. Canadian mathematical bulletin, Tome 39 (1996) no. 4, pp. 395-401. doi: 10.4153/CMB-1996-047-x
@article{10_4153_CMB_1996_047_x,
     author = {Bongiorno, B. and Pfeffer, W. F. and Thomson, B. S.},
     title = {A {Full} {Descriptive} {Definition} of the {Gage} {Integral}},
     journal = {Canadian mathematical bulletin},
     pages = {395--401},
     year = {1996},
     volume = {39},
     number = {4},
     doi = {10.4153/CMB-1996-047-x},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1996-047-x/}
}
TY  - JOUR
AU  - Bongiorno, B.
AU  - Pfeffer, W. F.
AU  - Thomson, B. S.
TI  - A Full Descriptive Definition of the Gage Integral
JO  - Canadian mathematical bulletin
PY  - 1996
SP  - 395
EP  - 401
VL  - 39
IS  - 4
UR  - http://geodesic.mathdoc.fr/articles/10.4153/CMB-1996-047-x/
DO  - 10.4153/CMB-1996-047-x
ID  - 10_4153_CMB_1996_047_x
ER  - 
%0 Journal Article
%A Bongiorno, B.
%A Pfeffer, W. F.
%A Thomson, B. S.
%T A Full Descriptive Definition of the Gage Integral
%J Canadian mathematical bulletin
%D 1996
%P 395-401
%V 39
%N 4
%U http://geodesic.mathdoc.fr/articles/10.4153/CMB-1996-047-x/
%R 10.4153/CMB-1996-047-x
%F 10_4153_CMB_1996_047_x

Cité par Sources :