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Published: 2026-02-25
2025

Jensen-type inequalities for divided differences via generalized convex functions

Gorana Aras-Gazić Logo ORCID , Julije Jakšetić , Josip Pečarić

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.

Keywords:

4-convex function , h-convex function , (h,g;α−n)-convex function , divided difference , Jensen’s inequality

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Aras-Gazić, G., Jakšetić, J., & Pečarić, J. (2026). Jensen-type inequalities for divided differences via generalized convex functions. Annales Mathematicae Silesianae. Retrieved from https://journals.us.edu.pl/index.php/AMSIL/article/view/23762

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2025
Published: 2025-11-02

ISSN: 0860-2107
eISSN: 2391-4238
Ikona DOI 10.2478/amsil
Publisher
University of Silesia Press
Licence CC Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

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