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2003-2004 On the continuity of associated interval functions.
Inder K. Rana, V. Sinha
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Real Anal. Exchange 29(2): 979-981 (2003-2004).


The aim of this note is to show that for a given continuous function $F$ on a set $E \subset \R,$ the associated interval function need not be continuous. We also give an example to show that the associated interval function can be continuous even if $F$ is not continuous.


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Inder K. Rana. V. Sinha. "On the continuity of associated interval functions.." Real Anal. Exchange 29 (2) 979 - 981, 2003-2004.


Published: 2003-2004
First available in Project Euclid: 7 June 2006

zbMATH: 1073.26005
MathSciNet: MR2083833

Primary: 26A99

Keywords: continuity , interval functions

Rights: Copyright © 2003 Michigan State University Press

Vol.29 • No. 2 • 2003-2004
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