# Integral with respect to a pre-measure

Mathematica Slovaca (1979)

- Volume: 29, Issue: 2, page 141-155
- ISSN: 0139-9918

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topŠipoš, Ján. "Integral with respect to a pre-measure." Mathematica Slovaca 29.2 (1979): 141-155. <http://eudml.org/doc/31588>.

@article{Šipoš1979,

author = {Šipoš, Ján},

journal = {Mathematica Slovaca},

keywords = {pre-measure; pre-measurable space; continuous pre-measure; Lebesgue theorems; Fatou's lemma; Beppo-Levi theorem},

language = {eng},

number = {2},

pages = {141-155},

publisher = {Mathematical Institute of the Slovak Academy of Sciences},

title = {Integral with respect to a pre-measure},

url = {http://eudml.org/doc/31588},

volume = {29},

year = {1979},

}

TY - JOUR

AU - Šipoš, Ján

TI - Integral with respect to a pre-measure

JO - Mathematica Slovaca

PY - 1979

PB - Mathematical Institute of the Slovak Academy of Sciences

VL - 29

IS - 2

SP - 141

EP - 155

LA - eng

KW - pre-measure; pre-measurable space; continuous pre-measure; Lebesgue theorems; Fatou's lemma; Beppo-Levi theorem

UR - http://eudml.org/doc/31588

ER -

## References

top- ALEXIUK V. N., Two theorems on the existence of the quasibase for the set of quasimeasures (Russian), Izv. VUZ, 6 (73), 1968, 11-18. (1968) MR0227345
- ALEXIUK V. N., BEZNOSIKOV F. D., Exstension of continuous outeг measure on a Boolean algebгa, (Russian). Izv. VUZ, 4 (119), 1972, 3-9. (1972)
- DOBRAKOV, L, On submeasures I, Disseгtationes Mathematicae CXII, (1974) 1-35. (1974) Zbl0292.28001MR0367140
- DREWNOWSKI L., Topological rings of sets, continuous set functions, integration. I, II, Bull. Acad. Pol. Sci., 20, 1972, 269-286. (1972) MR0306432
- HALMOS P. R., Measuгe Theory, New York 1950. (1950)
- MEYER P. A., Pгobability and Potentials, 1966.
- RIEČAN B., On extension of the Daniell integration scheme, Mat. Čas. 25, 1975, 211-219. (1975) MR0396889

## Citations in EuDML Documents

top- Antonio Boccuto, Beloslav Riečan, The symmetric Choquet integral with respect to Riesz-space-valued capacities
- Ján Šipoš, Nonlinear integrals
- Anna Kolesárová, Note on the integral with respect to the pre-measure
- Pedro Miranda, Michel Grabisch, $p$-symmetric bi-capacities
- Mirko Navara, Pavel Pták, Two-valued measures on $\sigma $-classes
- Ján Šipoš, Integral representations of non-linear functionals
- Ivica Marinová, Integration with respect to a $oplus$-measure
- Blahoslav Harman, Subadditive maximal ergodic theorem

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