Equivalent definitions of regular generalized Perron integral

Jaroslav Kurzweil; Jiří Jarník

Czechoslovak Mathematical Journal (1992)

  • Volume: 42, Issue: 2, page 365-378
  • ISSN: 0011-4642

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Kurzweil, Jaroslav, and Jarník, Jiří. "Equivalent definitions of regular generalized Perron integral." Czechoslovak Mathematical Journal 42.2 (1992): 365-378. <http://eudml.org/doc/31272>.

@article{Kurzweil1992,
author = {Kurzweil, Jaroslav, Jarník, Jiří},
journal = {Czechoslovak Mathematical Journal},
keywords = {Perron integral; generalized Riemann integral; multidimensional Kurzweil- Henstock integral; divergence theorem; Pfeffer's integral},
language = {eng},
number = {2},
pages = {365-378},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Equivalent definitions of regular generalized Perron integral},
url = {http://eudml.org/doc/31272},
volume = {42},
year = {1992},
}

TY - JOUR
AU - Kurzweil, Jaroslav
AU - Jarník, Jiří
TI - Equivalent definitions of regular generalized Perron integral
JO - Czechoslovak Mathematical Journal
PY - 1992
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 42
IS - 2
SP - 365
EP - 378
LA - eng
KW - Perron integral; generalized Riemann integral; multidimensional Kurzweil- Henstock integral; divergence theorem; Pfeffer's integral
UR - http://eudml.org/doc/31272
ER -

References

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  1. On the equivalence of Henstock-Kurzweil and restricted Denjoy integrals in R n , Real Analysis Exchange 15 (1989–90), 259–268. (1989–90) MR1042541
  2. On Mawhin’s approach to multiple nonabsolutely convergent integral, Časopis pěst. mat. 108 (1983), 356–380. (1983) MR0727536
  3. 10.2307/44152200, Real Analysis Exchange 17 (1991–92), 110–139. (1991–92) MR1147361DOI10.2307/44152200
  4. Differentiability and integrability in n dimensions with respect to α -regular intervals, Resultate der Mathematik 21 (1992), 138–151. (1992) MR1146639
  5. Generalized multiple Perron integrals and the Green-Goursat theorem for differentiable vector fields, Czechoslovak Math. J. 31(106) (1981), 614–632. (1981) Zbl0562.26004MR0631606
  6. A Riemann type integration and the fundamental theorem of calculus, Rendiconti Circ. Mat. Palermo, Ser. II 36 (1987), 482–506. (1987) Zbl0669.26007MR0981151

Citations in EuDML Documents

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  1. Jiří Jarník, Jaroslav Kurzweil, Pfeffer integrability does not imply M 1 -integrability
  2. Dirk Jens F. Nonnenmacher, A descriptive, additive modification of Mawhin's integral and the Divergence Theorem with singularities
  3. Claude-Alain Faure, A descriptive definition of some multidimensional gauge integrals
  4. Jiří Jarník, Štefan Schwabik, Jaroslav Kurzweil septuagenarian
  5. Jiří Jarník, Štefan Schwabik, Milan Tvrdý, Ivo Vrkoč, Eighty years of Jaroslav Kurzweil

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