# 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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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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