Integral with respect to a pre-measure

Ján Šipoš

Mathematica Slovaca (1979)

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

How to cite


Šipoš, Ján. "Integral with respect to a pre-measure." Mathematica Slovaca 29.2 (1979): 141-155. <>.

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 = {},
volume = {29},
year = {1979},

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 -
ER -


  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

  1. Antonio Boccuto, Beloslav Riečan, The symmetric Choquet integral with respect to Riesz-space-valued capacities
  2. Ján Šipoš, Nonlinear integrals
  3. Anna Kolesárová, Note on the integral with respect to the pre-measure
  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

NotesEmbed ?


You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.


Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.