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Comments on some inequalities of Pearce and Pečarić

Published online by Cambridge University Press:  20 January 2009

Horst Alzer
Horst Alzer
Affiliation:
Morsbacher Str. 10, 51545 Waldbröl, Germany
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Abstract

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We prove inequalities for convex functions, Lp norms, and sums of powers. Our results sharpen recently published inequalities of C. E. M. Pearce and J. E. Pečarić.

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 40 , Issue 1 , February 1997 , pp. 167 - 174
Copyright
Copyright © Edinburgh Mathematical Society 1997

References

REFERENCES

1. Brown, G., Some inequalities that arise in measure theory, J. Austral. Math. Soc. Ser. A 45 (1988), 83–94.CrossRefGoogle Scholar
2. Brown, G. and Shepp, L., A convolution inequality, in: Contributions to Probability and Statistics, Essays in Honour of I. Olkin (Springer, New York, 1989), 51–57.CrossRefGoogle Scholar
3. Bullen, P. S., Mitrinović, D. S., and Vasić, P. M., Means and Their Inequalities (D. Reidel, Dordrecht, 1988).CrossRefGoogle Scholar
4. Kemp, A. W., Certain inequalities involving fractional powers, J. Austral. Math. Soc. Ser. A 53 (1992), 131–136.CrossRefGoogle Scholar
5. Pearce, C. E. M. and Pečarić, J. E., An inequality for convex functions, J. Math. Anal. Appl. 183 (1994), 523–527.Google Scholar
6. Pearce, C. E. M. and Pečarić, J. E., On two lemmas of Brown and Shepp having application to sum sets and fractals, J. Austral. Math. Soc. Ser. B 36 (1994), 60–63.CrossRefGoogle Scholar