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Inequalities for certain Classes of Convex Functions
Published online by Cambridge University Press: 20 January 2009
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Making use of properties of doubly-stochastic matrices, I recently gave a simple proof (4) of a theorem of Ky Fan (Theorem 2b below) on symmetric gauge functions. I now propose to show that the same idea can be employed to derive a whole series of results on convex functions ; in particular, certain well-known inequalities of Hardy-Littlewood-Pólya and of Pólya will emerge as specìal cases.
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- Research Article
- Information
- Proceedings of the Edinburgh Mathematical Society , Volume 11 , Issue 4 , November 1959 , pp. 231 - 235
- Copyright
- Copyright © Edinburgh Mathematical Society 1959
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