Jensen type inequality for l-gap convex functions

JinYan Miao

Published: 2026-04-04

2025

Jensen type inequality for l-gap convex functions

JinYan Miao

Abstract

The concept of l-gap convex functions is defined, which is more general than convex functions and allows some non-convex parts of the function. A Jensen type inequality is established and some examples are discussed. As an application and generalization, we prove that the majorization theorem also holds for l-gap convex functions. Then we use the conclusions from the above sections to establish a Hermite-Hadamard type inequality for l-gap convex functions.

Keywords:

Jensen inequality , convex function

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Miao, J. (2026). Jensen type inequality for l-gap convex functions. Annales Mathematicae Silesianae. Retrieved from https://journals.us.edu.pl/index.php/AMSIL/article/view/18332

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2025
Published: 2025-11-02

ISSN: 0860-2107

eISSN: 2391-4238

10.2478/amsil

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University of Silesia Press

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

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