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The Hardy-Littlewood-Polya inequality of majorization in the context of w-m-star-convex functions

Published 17 Jul 2022 in math.CA and math.FA | (2207.08058v1)

Abstract: The Hardy-Littlewood-Polya inequality of majorization is extended for the {\omega}-m-star-convex functions to the framework of ordered Banach spaces. Several open problems which seem of interest for further extensions of the Hardy-Littlewood-Polya inequality are also included.

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