Some new refinements of strengthened Hardy and Pólya–Knopp's inequalities
We prove a new general one-dimensional inequality for convex functions and Hardy–Littlewood averages. Furthermore, we apply this result to unify and refine the so-called Boas's inequality and the strengthened inequalities of the Hardy–Knopp–type, deriving their new refinements as special cases...
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Main Authors: | Aleksandra Čižmešija, Sabir Hussain, Josip Pečarić |
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Format: | Article |
Language: | English |
Published: |
Wiley
2009-01-01
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Series: | Journal of Function Spaces and Applications |
Online Access: | http://dx.doi.org/10.1155/2009/695685 |
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