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On Darboux and Mean Value Properties

Published online by Cambridge University Press:  20 November 2018

P. S. Bullen  and
D. N. Sarkhel
P. S. Bullen
Affiliation:
Department of Mathematics, University of British Columbia, Vancouver, B.C., Canada
D. N. Sarkhel
Affiliation:
University of Kalyani, Kalyani, West Bengal, India
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Abstract

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In this paper we extend and greatly generalize, with some new information, the well known results that an approximately continuous function is Darboux, and that a finite approximate derivative has the mean value property and is Darboux. Our theorems on Darboux and mean value properties of derivatives include also those of selective derivatives and I-approximate derivatives.

Keywords

26H24
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 30 , Issue 2 , 01 June 1987 , pp. 223 - 230
Copyright
Copyright © Canadian Mathematical Society 1987

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