Geodesic
A step to Kurzweil-Henstock—an outline
Mathematica Bohemica, Tome 129 (2004) no. 3, pp. 297-304.

Voir la notice de l'article provenant de la source Czech Digital Mathematics Library

A short approach to the Kurzweil-Henstock integral is outlined, based on approximating a real function on a compact interval by suitable step-functions, and using filterbase convergence to define the integral. The properties of the integral are then easy to establish.
DOI : 10.21136/MB.2004.134150
Classification : 26A39
Keywords: integral; Kurzweil-Henstock integral; step-function; filterbase 
@article{10_21136_MB_2004_134150,
     author = {Craven, B. D.},
     title = {A step to {Kurzweil-Henstock{\textemdash}an} outline},
     journal = {Mathematica Bohemica},
     pages = {297--304},
     publisher = {mathdoc},
     volume = {129},
     number = {3},
     year = {2004},
     doi = {10.21136/MB.2004.134150},
     mrnumber = {2092715},
     zbl = {1080.26004},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.21136/MB.2004.134150/}
}
TY  - JOUR
AU  - Craven, B. D.
TI  - A step to Kurzweil-Henstock—an outline
JO  - Mathematica Bohemica
PY  - 2004
SP  - 297
EP  - 304
VL  - 129
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.21136/MB.2004.134150/
DO  - 10.21136/MB.2004.134150
LA  - en
ID  - 10_21136_MB_2004_134150
ER  - 
%0 Journal Article
%A Craven, B. D.
%T A step to Kurzweil-Henstock—an outline
%J Mathematica Bohemica
%D 2004
%P 297-304
%V 129
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.21136/MB.2004.134150/
%R 10.21136/MB.2004.134150
%G en
%F 10_21136_MB_2004_134150
Craven, B. D. A step to Kurzweil-Henstock—an outline. Mathematica Bohemica, Tome 129 (2004) no. 3, pp. 297-304. doi : 10.21136/MB.2004.134150. http://geodesic.mathdoc.fr/articles/10.21136/MB.2004.134150/

Cité par Sources :