Jensen-Type Inequalities for Divided Differences via Generalized Convex Functions

Gorana Aras-Gazić; Julije Jakšetić; Josip Pečarić

doi:10.2478/amsil-2026-0001

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Jensen-Type Inequalities for Divided Differences via Generalized Convex Functions

Annales Mathematicae Silesianae

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By: Gorana Aras-Gazić , Julije Jakšetić and Josip Pečarić

Open Access

|Feb 2026

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.

References

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DOI: https://doi.org/10.2478/amsil-2026-0001 | Journal eISSN: 2391-4238 | Journal ISSN: 0860-2107

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Language: English

Submitted on: Jun 9, 2025

Accepted on: Jan 27, 2026

Published on: Feb 25, 2026

Published by: University of Silesia in Katowice, Institute of Mathematics

In partnership with: Paradigm Publishing Services

Publication frequency: 2 issues per year

Keywords:

26D15,

26D07,

26A51

Related subjects:

Mathematics,

General mathematics

© 2026 Gorana Aras-Gazić, Julije Jakšetić, Josip Pečarić, published by University of Silesia in Katowice, Institute of Mathematics
This work is licensed under the Creative Commons Attribution 4.0 License.

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