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18.—An Inequality of C. R. Putnam involving a Dirichlet Functional

Published online by Cambridge University Press:  14 February 2012

D. B. Sears
Affiliation:
Department of Mathematics, University of the Witwatersrand.
S. D. Wray
Affiliation:
Department of Mathematics, University of the Witwatersrand.

Synopsis

An inequality of C. R. Putnam involving a Dirichlet functional in the singular theory of the Sturm-Liouville differential equation is generalised. The corresponding result for the Sturm-Liouville theory over a compact interval is established and this is extended to the singular case by means of a Tauberian argument.

Type
Research Article
Copyright
Copyright © Royal Society of Edinburgh 1976

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References

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