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Certain inequalities involving fractional powers

Part of: Inequalities

Published online by Cambridge University Press:  09 April 2009

A. W. Kemp
A. W. Kemp
Affiliation:
Mathematical Institute University of St. Andrews North Haugh, St. Andrews, Fife KY169SS, Scotland
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Abstract

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The note re-examines Brown's new inequalities involving polynomials and fractional powers. Shorter proofs are provided, and greater attention is given to the conditions for the inequalities to hold.

MSC classification

Secondary: 26D05: Inequalities for trigonometric functions and polynomials 26D20: Other analytical inequalities
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 53 , Issue 1 , August 1992 , pp. 131 - 136
Copyright
Copyright © Australian Mathematical Society 1992

References

Brown, G. (1988), ‘Some inequalities that arise in measure theory’, J. Austral. Math. Soc. (Series A) 45, 83–94.CrossRefGoogle Scholar
Brown, G. and Shepp, L. (1989), ‘A convolution inequality’, in: Contributions to Probability and Statistics, Essays in honour of Ingram Olkin (Springer, New York), pp. 51–57.Google Scholar