Some Properties of Dini Derivatives

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...

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Bibliographic Details
Main Author: Pinkerton, Jane W.
Other Authors: Hanson, E. H.
Format: Others
Language:English
Published: North Texas State College 1953
Subjects:
Online Access:https://digital.library.unt.edu/ark:/67531/metadc130342/
Description
Summary: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.