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ON WEIGHTED INEQUALITIES WITH GEOMETRIC MEAN OPERATOR
Part of:
Inequalities
Published online by Cambridge University Press: 01 December 2008
Abstract
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We give a characterization of pairs of weights for the validity of weighted inequalities involving certain generalized geometric mean operators generated by some Volterra integral operators, which include the Hardy averaging operator and the Riemann–Liouville integral operators. The estimations of the constants are also discussed. Our results generalize the work done by J. A. Cochran, C.-S. Lee, H. P. Heinig, B. Opic, P. Gurka, and L. Pick.
MSC classification
- Type
- Research Article
- Information
- Bulletin of the Australian Mathematical Society , Volume 78 , Issue 3 , December 2008 , pp. 463 - 475
- Copyright
- Copyright © 2009 Australian Mathematical Society
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