More on Jensen functional and convexity
Shoshana Abramovich
TL;DR
This paper investigates the relationships between Jensen functionals for convex functions, providing new inequalities and insights into their differences and properties.
Contribution
It presents novel results on the difference between a normalized Jensen functional and sums of other Jensen functionals for convex functions.
Findings
Established bounds for the difference between Jensen functionals
Extended existing inequalities related to convex functions
Provided new theoretical insights into Jensen functional behavior
Abstract
In this paper we prove results on the difference between a normalized Jensen functional and the sum of other normalized Jensen functionals for convex function.
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Taxonomy
TopicsFunctional Equations Stability Results · Mathematical Inequalities and Applications · Fixed Point Theorems Analysis