On Jensen Functional, Convexity and Uniform Convexity
Shoshana Abramovich
TL;DR
This paper advances the understanding of Jensen functionals by providing improved results concerning convex and uniformly convex functions, contributing to the theoretical foundation of convex analysis.
Contribution
It offers new, refined results on Jensen functionals specifically for convex and uniformly convex functions, enhancing existing theoretical frameworks.
Findings
Enhanced bounds for Jensen functionals
New characterizations of uniform convexity
Improved inequalities for convex functions
Abstract
In this paper we improve results related to Normalized Jensen Functional for convex functions and Uniformly Convex Functions.
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Taxonomy
TopicsFunctional Equations Stability Results · Mathematical Inequalities and Applications · Optimization and Variational Analysis