Jensen-Type Inequalities for Divided Differences via Generalized Convex Functions

Annales Mathematicae Silesianae 2026 Open access

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Authors: Gorana Aras-Gazić, Julije Jakšetić, Josip E. Pečarić
DOI: 10.2478/amsil-2026-0001
Cited by: 0
References: 5

Abstract

Abstract In this paper, we use ( m +4)-convex functions to derive an estimate for Jensen’s inequality in the context of divided differences. In addition, we extend these results for ( h, g ; α − n )-convex functions. Finally, we present some results for g -convex functions, ( h, g )-convex functions and provide a discussion and examples concerning h -convex functions.

Fields of Study & Subjects

Mathematical Inequalities and Applications Functional Equations Stability Results Approximation Theory and Sequence Spaces

Publication details

Journal / source
Annales Mathematicae Silesianae
Volume
40
Issue
2
Pages
149–163
Publication date
25 February 2026
Language
EN