Kurzweil’s PU integral as the Lebesgue integral
Mathematica Bohemica (2006)
- Volume: 131, Issue: 1, page 11-14
- ISSN: 0862-7959
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Abstract
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topVýborný, Rudolf. "Kurzweil’s PU integral as the Lebesgue integral." Mathematica Bohemica 131.1 (2006): 11-14. <http://eudml.org/doc/249913>.
@article{Výborný2006,
abstract = {For a merely continuous partition of unity the PU integral is the Lebesgue integral.},
author = {Výborný, Rudolf},
journal = {Mathematica Bohemica},
keywords = {Kurzweil’s PU integral; Lebesgue integral; McShane integral; McShane integral},
language = {eng},
number = {1},
pages = {11-14},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Kurzweil’s PU integral as the Lebesgue integral},
url = {http://eudml.org/doc/249913},
volume = {131},
year = {2006},
}
TY - JOUR
AU - Výborný, Rudolf
TI - Kurzweil’s PU integral as the Lebesgue integral
JO - Mathematica Bohemica
PY - 2006
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 131
IS - 1
SP - 11
EP - 14
AB - For a merely continuous partition of unity the PU integral is the Lebesgue integral.
LA - eng
KW - Kurzweil’s PU integral; Lebesgue integral; McShane integral; McShane integral
UR - http://eudml.org/doc/249913
ER -
References
top- The Integrals of Lebesgue, Denjoy, Perron, and Henstock, American Mathematical Society, 1994. (1994) MR1288751
- A non absolutely convergent integral which admits transformation and can be used on manifolds, Czechoslovak Math. J. 35 (1985), 116–139. (1985) MR0779340
- A new and more powerful concept of the PU integral, Czechoslovak Math. J. 38 (1988), 8–48. (1988) MR0925939
- An integral defined by approximating BV partitions of unity, Czechoslovak Math. J. 41 (1991), 695–712. (1991) MR1134958
- The Integral: An Easy Approach after Kurzweil and Henstock, Cambridge University Press, Cambridge, UK, 2000. (2000) MR1756319
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