Integral with respect to a pre-measure

Ján Šipoš

Mathematica Slovaca (1979)

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

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Šipoš, 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

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

Citations in EuDML Documents

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  1. Antonio Boccuto, Beloslav Riečan, The symmetric Choquet integral with respect to Riesz-space-valued capacities
  2. Anna Kolesárová, Note on the integral with respect to the pre-measure
  3. Ján Šipoš, Nonlinear integrals
  4. Pedro Miranda, Michel Grabisch, p -symmetric bi-capacities
  5. Mirko Navara, Pavel Pták, Two-valued measures on σ -classes
  6. Ján Šipoš, Integral representations of non-linear functionals
  7. Ivica Marinová, Integration with respect to a o p l u s -measure
  8. Blahoslav Harman, Subadditive maximal ergodic theorem

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