Some full characterizations of the strong McShane integral

Tuo-Yeong Lee

Mathematica Bohemica (2004)

  • Volume: 129, Issue: 3, page 305-312
  • ISSN: 0862-7959

Abstract

top
Some full characterizations of the strong McShane integral are obtained.

How to cite

top

Lee, Tuo-Yeong. "Some full characterizations of the strong McShane integral." Mathematica Bohemica 129.3 (2004): 305-312. <http://eudml.org/doc/249411>.

@article{Lee2004,
abstract = {Some full characterizations of the strong McShane integral are obtained.},
author = {Lee, Tuo-Yeong},
journal = {Mathematica Bohemica},
keywords = {strong McShane integral; strong absolute continuity; McShane variational measure; strong McShane integral; strong absolute continuity; McShane variational measure},
language = {eng},
number = {3},
pages = {305-312},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Some full characterizations of the strong McShane integral},
url = {http://eudml.org/doc/249411},
volume = {129},
year = {2004},
}

TY - JOUR
AU - Lee, Tuo-Yeong
TI - Some full characterizations of the strong McShane integral
JO - Mathematica Bohemica
PY - 2004
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 129
IS - 3
SP - 305
EP - 312
AB - Some full characterizations of the strong McShane integral are obtained.
LA - eng
KW - strong McShane integral; strong absolute continuity; McShane variational measure; strong McShane integral; strong absolute continuity; McShane variational measure
UR - http://eudml.org/doc/249411
ER -

References

top
  1. Real Analysis, Prentice-Hall, 1997. (1997) 
  2. 10.1090/S0002-9947-1936-1501880-4, Trans. Amer. Math. Soc. 40 (1936), 396–414. (1936) Zbl0015.35604MR1501880DOI10.1090/S0002-9947-1936-1501880-4
  3. 10.1023/A:1013705821657, Czechoslovak Math. J. 51 (2001), 95–110. (2001) MR1814635DOI10.1023/A:1013705821657
  4. 10.1215/ijm/1255986891, Illinois J. Math. 38 (1994), 127–141. (1994) MR1245838DOI10.1215/ijm/1255986891
  5. The Integrals of Lebesgue, Denjoy, Perron, and Henstock, Amer. Math. Soc., Providence, 1994. (1994) Zbl0807.26004MR1288751
  6. Perron-type integration on n -dimensional intervals and its properties, Czechoslovak Math. J. 45 (1995), 79–106. (1995) MR1314532
  7. The Integral, An Easy Approach after Kurzweil and Henstock, Australian Mathematical Society Lecture Ser. 14, Cambridge University Press, 2000. (2000) MR1756319
  8. Every absolutely Henstock-Kurzweil integrable function is McShane integrable: an alternative proof, (to appear). (to appear) Zbl1064.28011MR2095582
  9. 10.1090/S0002-9939-1988-0955000-4, Proc. Amer. Math. Soc. 103 (1988), 1161–1166. (1988) Zbl0656.26010MR0955000DOI10.1090/S0002-9939-1988-0955000-4
  10. The Riemann Approach to Integration, Cambridge Univ. Press, Cambridge, 1993. (1993) Zbl0804.26005MR1268404
  11. 10.1023/A:1013721114330, Czechoslovak Math. J. 51 (2001), 819–828. (2001) MR1864044DOI10.1023/A:1013721114330
  12. Introduction to the Gauge Integrals, World Scientific, 2001. (2001) MR1845270
  13. Derivates of Interval Functions, Mem. Amer. Math. Soc. 452, 1991. (1991) Zbl0734.26003MR1078198

NotesEmbed ?

top

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.