Gauge integrals and series

Charles W. Swartz

Mathematica Bohemica (2004)

  • Volume: 129, Issue: 3, page 325-332
  • ISSN: 0862-7959

Abstract

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This note contains a simple example which does clearly indicate the differences in the Henstock-Kurzweil, McShane and strong McShane integrals for Banach space valued functions.

How to cite

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Swartz, Charles W.. "Gauge integrals and series." Mathematica Bohemica 129.3 (2004): 325-332. <http://eudml.org/doc/249403>.

@article{Swartz2004,
abstract = {This note contains a simple example which does clearly indicate the differences in the Henstock-Kurzweil, McShane and strong McShane integrals for Banach space valued functions.},
author = {Swartz, Charles W.},
journal = {Mathematica Bohemica},
keywords = {Henstock-Kurzweil integral; McShane integral; Henstock-Kurzweil integral; McShane integral},
language = {eng},
number = {3},
pages = {325-332},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Gauge integrals and series},
url = {http://eudml.org/doc/249403},
volume = {129},
year = {2004},
}

TY - JOUR
AU - Swartz, Charles W.
TI - Gauge integrals and series
JO - Mathematica Bohemica
PY - 2004
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 129
IS - 3
SP - 325
EP - 332
AB - This note contains a simple example which does clearly indicate the differences in the Henstock-Kurzweil, McShane and strong McShane integrals for Banach space valued functions.
LA - eng
KW - Henstock-Kurzweil integral; McShane integral; Henstock-Kurzweil integral; McShane integral
UR - http://eudml.org/doc/249403
ER -

References

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  11. 10.1023/A:1013721114330, Czechoslovak Math. J. 51 (2001), 819–828. (2001) MR1864044DOI10.1023/A:1013721114330
  12. 10.36045/bbms/1105737762, Bull. Belgian Math. Soc. 4 (1997), 589–599. (1997) Zbl1038.46505MR1600292DOI10.36045/bbms/1105737762
  13. Infinite Matrices and the Gliding Hump, World Sci. Publ., Singapore, 1996. (1996) Zbl0923.46003MR1423136
  14. Introduction to Gauge Integrals, World Scientific Publ., Singapore, 2001. (2001) Zbl0982.26006MR1845270
  15. A Riemann-type definition of the Bochner integral, J. Math. Study 27 (1994), 32–36. (1994) MR1318255

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