On Generalized Means and Generalized Convex Function.
TEXAS UNIV AT AUSTIN CENTER FOR CYBERNETIC STUDIES
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Properties of generalized convex functions, defined in terms of the generalized means introduced by Hardy, Littlewood and Polya, are easily obtained by showing that generalized means and generalized convex functions are in fact ordinary arithmetic means and ordinary convex functions, respectively, defined on linear spaces with suited chosen operations of addition and multiplication. The results are applied to some problems in statistical decision theory.
- Operations Research