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Inequalities for certain Classes of Convex Functions

Published online by Cambridge University Press:  20 January 2009

L. Mirsky
L. Mirsky
Affiliation:
The University, Sheffield
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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.

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 11 , Issue 4 , November 1959 , pp. 231 - 235
Copyright
Copyright © Edinburgh Mathematical Society 1959

References

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