Real Analysis Exchange

Some Alternative Approaches to the McShane Integral

Surinder Pal Singh Kainth and Inder K. Rana

Full-text: Open access

Abstract

The aim of this paper is to give some equivalent ways of defining McShane integral for vector valued functions.

Article information

Source
Real Anal. Exchange, Volume 35, Number 1 (2009), 229-234.

Dates
First available in Project Euclid: 27 April 2010

Permanent link to this document
https://projecteuclid.org/euclid.rae/1272376233

Mathematical Reviews number (MathSciNet)
MR2657297

Zentralblatt MATH identifier
1200.26009

Subjects
Primary: 26A39: Denjoy and Perron integrals, other special integrals
Secondary: 28B05: Vector-valued set functions, measures and integrals [See also 46G10]

Keywords
Henstock-Kurzweil integral McShane integration gauge

Citation

Kainth, Surinder Pal Singh; Rana, Inder K. Some Alternative Approaches to the McShane Integral. Real Anal. Exchange 35 (2009), no. 1, 229--234. https://projecteuclid.org/euclid.rae/1272376233


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References

  • Stefan Schwabik and Guoju Ye, Topics in Banach Space Integration, World Scientific (2005).
  • Robert G. Bartle, A Modern Theory of Integration, Amer. Math. Soc., Providence, (2001).