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.


Download (1MB) | Preview

Arabic Abstract


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
Department: College of Computing and Mathematics > Mathematics
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 13:44
Last Modified: 01 Nov 2019 13:48