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Integral mean value theorems and the Ganelius inequality

Published online by Cambridge University Press:  14 November 2011

Ian Knowles
Ian Knowles
Affiliation:
Department of Mathematics, University of Alabama in Birmingham, Birmingham, Alabama 35294, U.S.A.
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Synopsis

The inequality of Ganelius states that, for suitable functions f and g on an interval [a, b], [inf f + var f]sup ∫ jdg, where the supremum is taken over all sub-intervals J of [a, b]. A more general version of this inequality is derived as well as certain related generalized mean-value theorems.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 97 , 1984 , pp. 145 - 150
Copyright
Copyright © Royal Society of Edinburgh 1984

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