Some Variation Properties of Real-Valued Functions

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Description

The purpose of this paper is two-fold; we shall first establish a complete existential theory of functions of one real variable with respect to continuity, uniform continuity, absolute continuity, bounded variation, and Lipschitz condition, and second we shall study set-functions in a similar manner, except that the properties to be considered will be continuity, absolute continuity, bounded variation, and additivity.

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iii, 35 leaves

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Dawson, David Fleming 1948.

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This thesis is part of the collection entitled: UNT Theses and Dissertations and was provided by UNT Libraries to Digital Library, a digital repository hosted by the UNT Libraries. It has been viewed 64 times . More information about this thesis can be viewed below.

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  • Dawson, David Fleming

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The purpose of this paper is two-fold; we shall first establish a complete existential theory of functions of one real variable with respect to continuity, uniform continuity, absolute continuity, bounded variation, and Lipschitz condition, and second we shall study set-functions in a similar manner, except that the properties to be considered will be continuity, absolute continuity, bounded variation, and additivity.

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iii, 35 leaves

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  • 1948

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  • April 23, 2012, 10:13 p.m.

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  • July 22, 2013, 8:46 a.m.

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Citations, Rights, Re-Use

Dawson, David Fleming. Some Variation Properties of Real-Valued Functions, thesis, 1948; Denton, Texas. (digital.library.unt.edu/ark:/67531/metadc83392/: accessed August 23, 2017), University of North Texas Libraries, Digital Library, digital.library.unt.edu; .