Geodesic
Equivalent definitions of regular generalized Perron integral
Czechoslovak Mathematical Journal, Tome 42 (1992) no. 2, pp. 365-378
Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

Voir la notice de l'article

DOI : 10.21136/CMJ.1992.128325
Classification : 26A39, 26B15, 26B20 
@article{10_21136_CMJ_1992_128325,
     author = {Kurzweil, Jaroslav and Jarn{\'\i}k, Ji\v{r}{\'\i}},
     title = {Equivalent definitions of regular generalized {Perron} integral},
     journal = {Czechoslovak Mathematical Journal},
     pages = {365--378},
     year = {1992},
     volume = {42},
     number = {2},
     doi = {10.21136/CMJ.1992.128325},
     mrnumber = {1179506},
     zbl = {0782.26004},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.21136/CMJ.1992.128325/}
}
TY  - JOUR
AU  - Kurzweil, Jaroslav
AU  - Jarník, Jiří
TI  - Equivalent definitions of regular generalized Perron integral
JO  - Czechoslovak Mathematical Journal
PY  - 1992
SP  - 365
EP  - 378
VL  - 42
IS  - 2
UR  - http://geodesic.mathdoc.fr/articles/10.21136/CMJ.1992.128325/
DO  - 10.21136/CMJ.1992.128325
LA  - en
ID  - 10_21136_CMJ_1992_128325
ER  - 
%0 Journal Article
%A Kurzweil, Jaroslav
%A Jarník, Jiří
%T Equivalent definitions of regular generalized Perron integral
%J Czechoslovak Mathematical Journal
%D 1992
%P 365-378
%V 42
%N 2
%U http://geodesic.mathdoc.fr/articles/10.21136/CMJ.1992.128325/
%R 10.21136/CMJ.1992.128325
%G en
%F 10_21136_CMJ_1992_128325
Kurzweil, Jaroslav; Jarník, Jiří. Equivalent definitions of regular generalized Perron integral. Czechoslovak Mathematical Journal, Tome 42 (1992) no. 2, pp. 365-378. doi: 10.21136/CMJ.1992.128325

[1] Chew T.S.: On the equivalence of Henstock-Kurzweil and restricted Denjoy integrals in $R^n$. Real Analysis Exchange 15 (1989–90), 259–268. | MR

[2] Jarník J., Kurzweil J., Schwabik Š.: On Mawhin’s approach to multiple nonabsolutely convergent integral. Časopis pěst. mat. 108 (1983), 356–380. | MR

[3] Kurzweil J., Jarník J.: Equiintegrability and controlled convergence of Perron-type integrable functions. Real Analysis Exchange 17 (1991–92), 110–139. | DOI | MR

[4] Kurzweil J., Jarník J.: Differentiability and integrability in $n$ dimensions with respect to $\alpha $-regular intervals. Resultate der Mathematik 21 (1992), 138–151. | MR

[5] Mawhin J.: Generalized multiple Perron integrals and the Green-Goursat theorem for differentiable vector fields. Czechoslovak Math. J. 31(106) (1981), 614–632. | MR | Zbl

[6] Pfeffer W. F.: A Riemann type integration and the fundamental theorem of calculus. Rendiconti Circ. Mat. Palermo, Ser. II 36 (1987), 482–506. | MR | Zbl

Cité par Sources :