# 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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top## How to cite

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) Zbl0614.26007MR0779340
- Jarník J., Kurzweil J., Report on three topics in integration theory and ordinary differential equations, Preprint MÚ ČSAV 11 (1985). (1985) Zbl0614.26007

## 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 $BV$ 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, D. J. F. Nonnenmacher, The fundamental theorem for the ${\nu}_{1}$-integral on more general sets and a corresponding divergence theorem with singularities
- Wolfgang B. Jurkat, The divergence theorem and Perron integration with exceptional sets
- W. Jurkat, D. Nonnenmacher, A theory of non-absolutely convergent integrals in Rn with singularities on a regular boundary
- Jiří Jarník, Štefan Schwabik, Jaroslav Kurzweil septuagenarian
- Jiří Jarník, Štefan Schwabik, Milan Tvrdý, Ivo Vrkoč, Eighty years of Jaroslav Kurzweil

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