A non-absolutely convergent integral which admits -transformations
Jiří Jarník; Jaroslav Kurzweil
Časopis pro pěstování matematiky (1984)
- Volume: 109, Issue: 2, page 157-167
- ISSN: 0528-2195
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topJarník, 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
top- J. Kurzweil, Nichtabsolut konveгgente Integгale, Teubneг-Texte zur Mathematik 26, Teubner. Leipzig 1980. (1980) MR0597703
- 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
- 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
top- Jiří Jarník, Jaroslav Kurzweil, A non absolutely convergent integral which admits transformation and can be used for integration on manifolds
- W. Jurkat, D. Nonnenmacher, An axiomatic theory of non-absolutely convergent integrals in Rn
- Wolfgang B. Jurkat, The divergence theorem and Perron integration with exceptional sets
- Jean Mawhin, Nonstandard analysis and generalized Riemann integrals
- Wolfgang B. Jurkat, D. J. F. Nonnenmacher, The fundamental theorem for the -integral on more general sets and a corresponding divergence theorem with singularities
- Jan Malý, Washek Frank Pfeffer, Henstock-Kurzweil integral on sets
- W. Jurkat, D. Nonnenmacher, A theory of non-absolutely convergent integrals in Rn with singularities on a regular boundary
- Jan Malý, Kristýna Kuncová, On a generalization of Henstock-Kurzweil integrals
- Jiří Jarník, Štefan Schwabik, Milan Tvrdý, Ivo Vrkoč, Eighty years of Jaroslav Kurzweil
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