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Open Journal of Mathematical Analysis (OMA)

ISSN: 2616-8111 (Online) 2616-8103 (Print)
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  • Research article

\(s\)-convex set and \(s\)-convex functions on Heisenberg group

Chuanyang Li1, Peibiao Zhao1
1School of Mathematics and Statistics, Nanjing University of Science and Technology, Nanjing, China
Copyright © Chuanyang Li, Peibiao Zhao. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
  • Received: 09/12/2025
  • Accepted: 31/12/2025
  • Published: 20/01/2026

Abstract

In this paper, we give the definitions of \(s\)-convex set and \(s\)-convex function on Heisenberg group. And some inequalities of Jensen’s type for this class of mappings are pointed out.

Keywords: s-convex set, s-convex function, Heisenberg group, Jensen’s discrete inequality