Jensen-Type Inequalities for Divided Differences via Generalized Convex Functions
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.
Language: English
Submitted on: Jun 9, 2025
Accepted on: Jan 27, 2026
Published on: Feb 25, 2026
In partnership with: Paradigm Publishing Services
Publication frequency: 2 issues per year
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© 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.