Perron-type integration on n -dimensional intervals and its properties

Jiří Jarník; Jaroslav Kurzweil

Czechoslovak Mathematical Journal (1995)

  • Volume: 45, Issue: 1, page 79-106
  • ISSN: 0011-4642

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Jarník, Jiří, and Kurzweil, Jaroslav. "Perron-type integration on $n$-dimensional intervals and its properties." Czechoslovak Mathematical Journal 45.1 (1995): 79-106. <http://eudml.org/doc/31447>.

@article{Jarník1995,
author = {Jarník, Jiří, Kurzweil, Jaroslav},
journal = {Czechoslovak Mathematical Journal},
keywords = {Kurzweil-Henstock integrals; Perron-type integration; nonabsolutely convergent integral; Saks-Henstock lemma; convergence theorem},
language = {eng},
number = {1},
pages = {79-106},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Perron-type integration on $n$-dimensional intervals and its properties},
url = {http://eudml.org/doc/31447},
volume = {45},
year = {1995},
}

TY - JOUR
AU - Jarník, Jiří
AU - Kurzweil, Jaroslav
TI - Perron-type integration on $n$-dimensional intervals and its properties
JO - Czechoslovak Mathematical Journal
PY - 1995
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 45
IS - 1
SP - 79
EP - 106
LA - eng
KW - Kurzweil-Henstock integrals; Perron-type integration; nonabsolutely convergent integral; Saks-Henstock lemma; convergence theorem
UR - http://eudml.org/doc/31447
ER -

References

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  1. Generalized ordinary differential equations and continuous dependence on a parameter, Czechosl. Math. J. 7 (1957), 418–449. (1957) Zbl0090.30002MR0111875
  2. Nichtabsolutkonvergente Integrale, Teubner Texte zur Mathematik, 25, Teubner, Leipzig, 1984. (1984) 
  3. 10.2307/44152200, Real. Anal. Exchange 17 (1991–92), 110–139. (1991–92) MR1147361DOI10.2307/44152200
  4. 10.1007/BF03323075, Results in Mathematik 21 (1992), 138–151. (1992) MR1146639DOI10.1007/BF03323075
  5. 10.1007/BF03322308, Results in Mathematics 23 (1993), 263–273. (1993) MR1215221DOI10.1007/BF03322308

Citations in EuDML Documents

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  1. Jaroslav Kurzweil, Jiří Jarník, Perron type integration on n -dimensional intervals as an extension of integration of stepfunctions by strong equiconvergence
  2. Jiří Jarník, Jaroslav Kurzweil, Another Perron type integration in n dimensions as an extension of integration of stepfunctions
  3. Luisa Di Piazza, Variational measures in the theory of the integration in ℝ m
  4. Donatella Bongiorno, Luisa Di Piazza, Valentin A. Skvortsov, Variational measures related to local systems and the Ward property of 𝒫 -adic path bases
  5. Tuo-Yeong Lee, Some full characterizations of the strong McShane integral
  6. Lee Tuo-Yeong, Some full descriptive characterizations of the Henstock-Kurzweil integral in the Euclidean space
  7. Lee Tuo-Yeong, A full characterization of multipliers for the strong ρ -integral in the euclidean space
  8. Jiří Jarník, Štefan Schwabik, Jaroslav Kurzweil septuagenarian
  9. Jean Mawhin, The origin and developments of Kurzweil's generalized Riemann integral
  10. Jiří Jarník, Štefan Schwabik, Milan Tvrdý, Ivo Vrkoč, Eighty years of Jaroslav Kurzweil

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