On the Kluvánek Construction of the Lebesgue Integral
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica (2013)
- Volume: 52, Issue: 2, page 99-105
- ISSN: 0231-9721
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topRiečan, Beloslav. "On the Kluvánek Construction of the Lebesgue Integral." Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica 52.2 (2013): 99-105. <http://eudml.org/doc/260805>.
@article{Riečan2013,
abstract = {I. Kluvánek suggested to built the Lebesgue integral on a compact interval in the real line by the help of the length of intervals only. In the paper a modification of the Kluvánek construction is presented applicable to abstract spaces, too.},
author = {Riečan, Beloslav},
journal = {Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica},
keywords = {Lebesgue integral; rings of sets; measures on compact interval; Lebesgue integral; rings of sets; measures on compact interval},
language = {eng},
number = {2},
pages = {99-105},
publisher = {Palacký University Olomouc},
title = {On the Kluvánek Construction of the Lebesgue Integral},
url = {http://eudml.org/doc/260805},
volume = {52},
year = {2013},
}
TY - JOUR
AU - Riečan, Beloslav
TI - On the Kluvánek Construction of the Lebesgue Integral
JO - Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
PY - 2013
PB - Palacký University Olomouc
VL - 52
IS - 2
SP - 99
EP - 105
AB - I. Kluvánek suggested to built the Lebesgue integral on a compact interval in the real line by the help of the length of intervals only. In the paper a modification of the Kluvánek construction is presented applicable to abstract spaces, too.
LA - eng
KW - Lebesgue integral; rings of sets; measures on compact interval; Lebesgue integral; rings of sets; measures on compact interval
UR - http://eudml.org/doc/260805
ER -
References
top- Boccuto A., Riečan B., Vrábelová M., Kurzweil–Henstock Integral in Riesz Spaces, Betham, 2009. (2009)
- Kluvánek, I., Archimedes was right, Elemente der Mathematik 42, 3 (1987), 51–82. (1987) Zbl0706.26005MR0886766
- Kluvánek, I., Archimedes was right, Elemente der Mathematik 42, 4 (1987), 83–114. (1987) Zbl0706.26005MR0896118
- Kluvánek, I., Integral Calculus, UK, Ružomberok, 2011 (in Slovak). (2011)
- Riečan, B., On Probability and Measure, Alfa, Bratislava, 1971 (in Slovak). (1971)
- Riečan, B., Neubrunn T., Integral, Measure, and Ordering, Kluwer, Dordrecht, 1997. (1997) Zbl0916.28001MR1489521
- Riečan, B., Tkáčik, Š., A note on the Kluvánek integral, Tatra Mt. Math. Publ 49 (2011), 59–65. (2011) Zbl1265.26018MR2865796
- Šipoš, J., Integral representation of nonlinear functionals, Math. Slovaca 29 (1979), 333–346. (1979) MR0562006
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