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On a quadratic integral inequality*

Published online by Cambridge University Press:  14 November 2011

R. J. Amos  and
W. N. Everitt
R. J. Amos
Affiliation:
Department of Mathematics, University of Dundee
W. N. Everitt
Affiliation:
Department of Mathematics, University of Dundee
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Synopsis

The inequality considered is

where p and q are given real-valued coefficients on the interval [a, b), with b ≦ ∝, of the real line; here D is a linear manifold of the Hilbert function space L2(a, b), and μ is a real number characterised in terms of the spectrum of a uniquely determined self-adjoint differential operator in L2(a, b).

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 78 , Issue 3-4 , 1978 , pp. 241 - 256
Copyright
Copyright © Royal Society of Edinburgh 1978

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Footnotes

*

This paper was assisted in publication by a grant from the Carnegie Trust for the Universities of Scotland.

References

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