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Inequalities related to those of Hardy and of Cochran and Lee

Published online by Cambridge University Press:  24 October 2008

E. R. Love
E. R. Love
Affiliation:
University of Melbourne, Parkville, Victoria 3052, Australia
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Extract

One of the inequalities recently found by Cochran and Lee([1], theorem 1) is the following.

If γ and p are real numbers with p > 0, and f(t) is measurable and non-negative on (0, ∞), then

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 99 , Issue 3 , May 1986 , pp. 395 - 408
Copyright
Copyright © Cambridge Philosophical Society 1986

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References

REFERENCES

[1]Cochran, J. A. and Lee, C.-S.. Inequalities related to Hardy's and Heinig's. Math. Proc. Cambridge Philos. Soc. 96 (1984), 1–7.CrossRefGoogle Scholar
[2]Hardy, G. H., Littlewood, J. E. and Po´lya, G.. Inequalities (Cambridge University Press, 1934).Google Scholar
[3]Heinig, H. P.. Some extensions of Hardy's inquality. SIAM J. Math. Anal. 6 (1975), 698–713.CrossRefGoogle Scholar
[4]Love, E. R.. Generalizations of Hardy's Integral Inequality. Proc. Roy. Soc. Edinburgh 100A (1985), 237–262.Google Scholar
[5]Love, E. R.. Generalizations of Hardy's Copson'ualities. J. London Math. Soc. (2) 30 (1984), 431–440.CrossRefGoogle Scholar