The Hardy-Littlewood-Polya inequality of majorization in the context of w-m-star-convex functions
Geanina Maria Lachescu, Ionel Roventa
TL;DR
This paper extends the Hardy-Littlewood-Polya majorization inequality to -m-star-convex functions within ordered Banach spaces, providing new theoretical insights and posing open problems for future research.
Contribution
It introduces a generalized Hardy-Littlewood-Polya inequality for -m-star-convex functions in ordered Banach spaces, expanding the scope of majorization theory.
Findings
Extended the inequality to -m-star-convex functions
Identified open problems for further research
Enhanced understanding of majorization in ordered Banach spaces
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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Taxonomy
TopicsMathematical Inequalities and Applications · Advanced Harmonic Analysis Research · Nonlinear Differential Equations Analysis