On Jensen Functional, Convexity and Uniform Convexity

2024/05/22 by Shoshana Abramovich, Abramovich, Shoshana
Computer Science · Mathematics · #26A51 #26D15 #39B62 #47A63 #47A64 #FOS: Mathematics #Functional Analysis (math.FA) #Functional Equations Stability Results #Mathematical Inequalities and Applications #Optimization and Variational Analysis

paper · pdf · doi:10.48550/arxiv.2405.15681

openalex publication_date 2024/05/22 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper we improve results related to Normalized Jensen Functional for convex functions and Uniformly Convex Functions.

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• More on Jensen functional and convexity
• Improvement of Jensen, Jensen-Steffensen's, and Jensen's functionals related inequalities for various types of convexity
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• Jensen-type inequality for non-convex functions