A new and more powerful concept of the PU-integral
Jiří Jarník; Jaroslav Kurzweil
Czechoslovak Mathematical Journal (1988)
- Volume: 38, Issue: 1, page 8-48
- ISSN: 0011-4642
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topJarník, Jiří, and Kurzweil, Jaroslav. "A new and more powerful concept of the PU-integral." Czechoslovak Mathematical Journal 38.1 (1988): 8-48. <http://eudml.org/doc/13680>.
@article{Jarník1988,
author = {Jarník, Jiří, Kurzweil, Jaroslav},
journal = {Czechoslovak Mathematical Journal},
keywords = {PU-integral; Riemann sums; n-dimensional extensions of the Kurzweil- Henstock integral; nonabsolutely convergent integral; Stokes theorem},
language = {eng},
number = {1},
pages = {8-48},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {A new and more powerful concept of the PU-integral},
url = {http://eudml.org/doc/13680},
volume = {38},
year = {1988},
}
TY - JOUR
AU - Jarník, Jiří
AU - Kurzweil, Jaroslav
TI - A new and more powerful concept of the PU-integral
JO - Czechoslovak Mathematical Journal
PY - 1988
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 38
IS - 1
SP - 8
EP - 48
LA - eng
KW - PU-integral; Riemann sums; n-dimensional extensions of the Kurzweil- Henstock integral; nonabsolutely convergent integral; Stokes theorem
UR - http://eudml.org/doc/13680
ER -
References
top- Jarník J., Kurzweil J., A nonabsolutely convergent integral which admits transformation and can be used for integration on manifolds, Czechoslovak Math. J. 35 (110) (1985), pp. 116-139. (1985) MR0779340
- Jarník J., Kurzweil J., Report on three topics in integration theory and ordinary differential equations, Preprint MÚ ČSAV 11 (1985). (1985)
Citations in EuDML Documents
top- Rudolf Výborný, Kurzweil’s PU integral as the Lebesgue integral
- Jaroslav Kurzweil, Jean Mawhin, Washek Frank Pfeffer, An integral defined by approximating partitions of unity
- Giuseppa Riccobono, A PU-integral on an abstract metric space
- V. Marraffa, A scalar Volterra derivative for the PoU-integral
- 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
- Wolfgang B. Jurkat, D. J. F. Nonnenmacher, The fundamental theorem for the -integral on more general sets and a corresponding divergence theorem with singularities
- 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, Jaroslav Kurzweil septuagenarian
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