On the Hermite–Hadamard inequalities via Fourier Transform
Mathematica Slovaca, 2026 (SCI-Expanded, Scopus)
- Publication Type: Article / Article
- Publication Date: 2026
- Doi Number: 10.1515/ms-2026-0325
- Journal Name: Mathematica Slovaca
- Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Aerospace Database, MathSciNet, zbMATH, Academic Search Ultimate (EBSCO), Materials Science & Engineering Collection (ProQuest), Technology Collection (ProQuest)
- Keywords: Fourier Transform, harmonic analysis, Hermite–Hadamard inequality, modified (h, m)-convex functions of second type
- Bursa Uludag University Affiliated: Yes
Abstract
The objective of this note is to establish new versions of the Hermite–Hadamard inequalities, for (h, m)-convex functions of the second type, by means of a completely new approach: the Fourier Transform.