# The Kurzweil integral with exclusion of negligible sets

Mathematica Bohemica (2003)

- Volume: 128, Issue: 3, page 277-292
- ISSN: 0862-7959

## Access Full Article

top## Abstract

top## How to cite

topKrejčí, Pavel. "The Kurzweil integral with exclusion of negligible sets." Mathematica Bohemica 128.3 (2003): 277-292. <http://eudml.org/doc/249241>.

@article{Krejčí2003,

abstract = {We propose an extended version of the Kurzweil integral which contains both the Young and the Kurzweil integral as special cases. The construction is based on a reduction of the class of $\delta $-fine partitions by excluding small sets.},

author = {Krejčí, Pavel},

journal = {Mathematica Bohemica},

keywords = {Kurzweil integral; Young integral; Kurzweil integral; Young integral},

language = {eng},

number = {3},

pages = {277-292},

publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},

title = {The Kurzweil integral with exclusion of negligible sets},

url = {http://eudml.org/doc/249241},

volume = {128},

year = {2003},

}

TY - JOUR

AU - Krejčí, Pavel

TI - The Kurzweil integral with exclusion of negligible sets

JO - Mathematica Bohemica

PY - 2003

PB - Institute of Mathematics, Academy of Sciences of the Czech Republic

VL - 128

IS - 3

SP - 277

EP - 292

AB - We propose an extended version of the Kurzweil integral which contains both the Young and the Kurzweil integral as special cases. The construction is based on a reduction of the class of $\delta $-fine partitions by excluding small sets.

LA - eng

KW - Kurzweil integral; Young integral; Kurzweil integral; Young integral

UR - http://eudml.org/doc/249241

ER -

## References

top- Reelle Funktionen, Springer, Berlin, 1954. (German) (1954) Zbl0056.05202MR0061652
- Duality in the space of regulated functions and the play operator, Math. Z. (Accepted). MR2020705
- Introduction to the Theory of Integration, Academic Press, New York and London, 1963. (1963) Zbl0112.28302MR0154957
- A nonexistence result for the Kurzweil integral, Math. Bohem. 127 (2002), 571–580. (2002) MR1942642
- Generalized variational inequalities, J. Convex Anal. 9 (2002), 159–183. (2002) MR1917394
- Generalized ordinary differential equations and continuous dependence on a parameter, Czechoslovak Math. J. 7 (1957), 418–449. (1957) Zbl0090.30002MR0111875
- On the relation between Young’s and Kurzweil’s concept of Stieltjes integral, Čas. Pěst. Mat. 98 (1973), 237–251. (1973) Zbl0266.26006MR0322113
- On a modified sum integral of Stieltjes type, Čas. Pěst. Mat. 98 (1973), 274–277. (1973) Zbl0266.26007MR0322114
- Abstract Perron-Stieltjes integral, Math. Bohem. 121 (1996), 425–447. (1996) Zbl0879.28021MR1428144
- Regulated functions and the Perron-Stieltjes integral, Čas. Pěst. Mat. 114 (1989), 187–209. (1989) MR1063765

## Citations in EuDML Documents

top## NotesEmbed ?

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