Real Analysis Exchange

Moore-Smith Limits and the Henstock Integral

Zhao Dongsheng, Ian June L. Garces, and Lee Peng-Yee

Full-text: Open access

Abstract

An integral is defined using the Moore-Smith limit and this new integral is compared to the Henstock integral.

Article information

Source
Real Anal. Exchange, Volume 24, Number 1 (1998), 447-456.

Dates
First available in Project Euclid: 23 March 2011

Permanent link to this document
https://projecteuclid.org/euclid.rae/1300906041

Mathematical Reviews number (MathSciNet)
MR1691764

Zentralblatt MATH identifier
0940.26006

Subjects
Primary: 26A39: Denjoy and Perron integrals, other special integrals

Keywords
Moore-Smith limits

Citation

Garces, Ian June L.; Peng-Yee, Lee; Dongsheng, Zhao. Moore-Smith Limits and the Henstock Integral. Real Anal. Exchange 24 (1998), no. 1, 447--456. https://projecteuclid.org/euclid.rae/1300906041


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References

  • N. Dunford and J. T. Schwartz, Linear Operators I, Interscience 1958.
  • C. Goffman, Real Functions, Rinehart 1953.
  • P. Y. Lee, Lanzhou Lectures in Henstock Integration, World Scientific 1989.
  • S. Saks, Theory of the Integral, 2nd ed, Hafner 1937.