The Riemann-Steiltjes integration in locally compact spaces

(1984) The Riemann-Steiltjes integration in locally compact spaces. Masters thesis, King Fahd University of Petroleum and Minerals.

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Arabic Abstract

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English Abstract

The study presents a systematic and self-contained exposition of the generalized Riemann integral in a locally compact Hausdorff space, and shows that it is equivalent to the Perron and variational integrals. It also gives a necessary and sufficient condition for its equivalence to the Lebesgue integral with respect to a suitably chosen measure.

Item Type: Thesis (Masters)
Subjects: Math
Divisions: College Of Sciences > Mathematical Science Dept
Committee Advisor: Pfeffer, W. F.
Committee Members: Boghossian, A. B. and Gardner, R. J. and Ismail, M. A.
Depositing User: Mr. Admin Admin
Date Deposited: 22 Jun 2008 16:44
Last Modified: 01 Nov 2019 16:48
URI: http://eprints.kfupm.edu.sa/id/eprint/9577