The purpose of this paper is to derive certain of the fundamental properties of the Dini derivatives of an arbitrary real function. To this end it will be necessary to investigate the properties of the limits superior and inferior of real functions and to prove the Vitali Covering Theorem as well as a fundamental theorem on the metric density of arbitrary point sets.
| Identifer | oai:union.ndltd.org:unt.edu/info:ark/67531/metadc130342 |
| Date | 08 1900 |
| Creators | Pinkerton, Jane W. |
| Contributors | Hanson, E. H., Parrish, Herbert C. |
| Publisher | North Texas State College |
| Source Sets | University of North Texas |
| Language | English |
| Detected Language | English |
| Type | Thesis or Dissertation |
| Format | [iii], 20 leaves, Text |
| Rights | Public, Copyright, Copyright is held by the author, unless otherwise noted. All rights reserved., Pinkerton, Jane W. |
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