A non-absolutely convergent integral which admits C 1 -transformations

Jiří Jarník; Jaroslav Kurzweil

Časopis pro pěstování matematiky (1984)

  • Volume: 109, Issue: 2, page 157-167
  • ISSN: 0528-2195

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Jarník, Jiří, and Kurzweil, Jaroslav. "A non-absolutely convergent integral which admits $C^1$-transformations." Časopis pro pěstování matematiky 109.2 (1984): 157-167. <http://eudml.org/doc/19327>.

@article{Jarník1984,
author = {Jarník, Jiří, Kurzweil, Jaroslav},
journal = {Časopis pro pěstování matematiky},
keywords = {Stokes theorem; generalized Perron-like integral; Riemann sums; non- absolutely convergent integrals; MT-integral; transformation theorem; divergence theorem for differentiable vector fields},
language = {eng},
number = {2},
pages = {157-167},
publisher = {Mathematical Institute of the Czechoslovak Academy of Sciences},
title = {A non-absolutely convergent integral which admits $C^1$-transformations},
url = {http://eudml.org/doc/19327},
volume = {109},
year = {1984},
}

TY - JOUR
AU - Jarník, Jiří
AU - Kurzweil, Jaroslav
TI - A non-absolutely convergent integral which admits $C^1$-transformations
JO - Časopis pro pěstování matematiky
PY - 1984
PB - Mathematical Institute of the Czechoslovak Academy of Sciences
VL - 109
IS - 2
SP - 157
EP - 167
LA - eng
KW - Stokes theorem; generalized Perron-like integral; Riemann sums; non- absolutely convergent integrals; MT-integral; transformation theorem; divergence theorem for differentiable vector fields
UR - http://eudml.org/doc/19327
ER -

References

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  1. J. Kurzweil, Nichtabsolut konveгgente Integгale, Teubneг-Texte zur Mathematik 26, Teubner. Leipzig 1980. (1980) MR0597703
  2. J. Mawhin, Generalized multiple Perron integrals and the Green-Goursat theorem for differentiable vector fields, Czechoslov. Math. Journal 31 (106) 1981, 614-632. (1981) Zbl0562.26004MR0631606
  3. J. Jarník J. Kurzweil Š. Schwabik, On J. Mawhin's approach to multiple nonabsolutelу convergent integral, Časopis pěst. mat. 108 (1983), 356-380. (1983) MR0727536

Citations in EuDML Documents

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  1. Jiří Jarník, Jaroslav Kurzweil, A non absolutely convergent integral which admits transformation and can be used for integration on manifolds
  2. W. Jurkat, D. Nonnenmacher, An axiomatic theory of non-absolutely convergent integrals in Rn
  3. Wolfgang B. Jurkat, The divergence theorem and Perron integration with exceptional sets
  4. Wolfgang B. Jurkat, D. J. F. Nonnenmacher, The fundamental theorem for the ν 1 -integral on more general sets and a corresponding divergence theorem with singularities
  5. Jean Mawhin, Nonstandard analysis and generalized Riemann integrals
  6. Jan Malý, Washek Frank Pfeffer, Henstock-Kurzweil integral on BV sets
  7. W. Jurkat, D. Nonnenmacher, A theory of non-absolutely convergent integrals in Rn with singularities on a regular boundary
  8. Jiří Jarník, Štefan Schwabik, Milan Tvrdý, Ivo Vrkoč, Eighty years of Jaroslav Kurzweil

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