On Mawhin's approach to multiple nonabsolutely convergent integral

Jiří Jarník; Jaroslav Kurzweil; Štefan Schwabik

Časopis pro pěstování matematiky (1983)

  • Volume: 108, Issue: 4, page 356-380
  • ISSN: 0528-2195

How to cite

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Jarník, Jiří, Kurzweil, Jaroslav, and Schwabik, Štefan. "On Mawhin's approach to multiple nonabsolutely convergent integral." Časopis pro pěstování matematiky 108.4 (1983): 356-380. <http://eudml.org/doc/21549>.

@article{Jarník1983,
author = {Jarník, Jiří, Kurzweil, Jaroslav, Schwabik, Štefan},
journal = {Časopis pro pěstování matematiky},
keywords = {non-absolutely convergent integrals; Perron-like integrals; Stokes theorem; differentiable vector fields; Riemann sums; GP-integral; M- integral},
language = {eng},
number = {4},
pages = {356-380},
publisher = {Mathematical Institute of the Czechoslovak Academy of Sciences},
title = {On Mawhin's approach to multiple nonabsolutely convergent integral},
url = {http://eudml.org/doc/21549},
volume = {108},
year = {1983},
}

TY - JOUR
AU - Jarník, Jiří
AU - Kurzweil, Jaroslav
AU - Schwabik, Štefan
TI - On Mawhin's approach to multiple nonabsolutely convergent integral
JO - Časopis pro pěstování matematiky
PY - 1983
PB - Mathematical Institute of the Czechoslovak Academy of Sciences
VL - 108
IS - 4
SP - 356
EP - 380
LA - eng
KW - non-absolutely convergent integrals; Perron-like integrals; Stokes theorem; differentiable vector fields; Riemann sums; GP-integral; M- integral
UR - http://eudml.org/doc/21549
ER -

References

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  1. J. Mawhin, Generalized multiple Perron integrals and the Green-Goursat theorem for differentiable vector fields, Czechoslovak Math. Ј. 31 (106) (1981), no. 4, 614- 632. (1981) Zbl0562.26004MR0631606
  2. J. Kurzweil, Nichtabsolut konvergente Integrale, Teubneг-Texte zuг Mathematik 26, B. G. Teubneг, Leipzig 1980. (1980) Zbl0441.28001MR0597703
  3. R. Henstock, Theory of Integгation, Butteгworths, London 196З. (196З) 
  4. E. J. MacShane, A Riemann-type integгal that includes Lebesgue-Stieltjes, Bochneг and stochastic integrals, Memoirs Amer. Math. Soc. 88 (1969). (1969) 

Citations in EuDML Documents

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  1. Josef Král, Note on generalized multiple Perron integral
  2. Shu Sheng Fu, A note on the GP-integral
  3. Jaroslav Kurzweil, Jiří Jarník, Perron type integration on n -dimensional intervals as an extension of integration of stepfunctions by strong equiconvergence
  4. Jaroslav Kurzweil, Jiří Jarník, Equivalent definitions of regular generalized Perron integral
  5. Jiří Jarník, Jaroslav Kurzweil, A non-absolutely convergent integral which admits C 1 -transformations
  6. D. J. F. Nonnenmacher, Every M 1 -integrable function is Pfeffer integrable
  7. Jiří Jarník, Jaroslav Kurzweil, A non absolutely convergent integral which admits transformation and can be used for integration on manifolds
  8. Dirk Jens F. Nonnenmacher, A descriptive, additive modification of Mawhin's integral and the Divergence Theorem with singularities
  9. Wolfgang B. Jurkat, D. J. F. Nonnenmacher, A Hake-type property for the ν 1 -integral and its relation to other integration processes
  10. Claude-Alain Faure, A descriptive definition of some multidimensional gauge integrals

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