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. Jiří Jarník, Štefan Schwabik, Milan Tvrdý, Ivo Vrkoč, Eighty years of Jaroslav Kurzweil

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