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On certain fourth-order integral inequalities

Published online by Cambridge University Press:  14 November 2011

A. Russell
A. Russell
Affiliation:
Timex Corporation, Dundee, Scotland
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Synopsis

The integral inequalities with which this paper is concerned are

and

where K(μ) and K1(μ) are positive numbers which depend on μ.

It is shown that each of these inequalities is valid only when μ = 0. Results relating to the corresponding inequalities on the extended interval (−∞, ∞) are also given.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 83 , Issue 3-4 , 1979 , pp. 205 - 211
Copyright
Copyright © Royal Society of Edinburgh 1979

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