Matrix Hermite–Hadamard type inequalities for bivariate convex functions
Abstract
Considering convexity as well as matrix convexity for bivariate functions, we investigate the well-known Hermite–Hadamard inequality. In the case of separately convex bivariate functions, we present some majorization and norm inequalities. In the case of matrix convexity, a series of matrix inequalities are presented for bivariate matrix functions. Our results generalize some previous studies concerning Hermite–Hadamard inequality.
Fields of Study & Subjects
Mathematical Inequalities and Applications
Optimization and Variational Analysis
Functional Equations Stability Results
Publication details
- Journal / source
- Journal of Inequalities and Applications
- Publisher
- Springer Science and Business Media LLC
- Volume
- 2026
- Issue
- 1
- Publication date
- 3 February 2026
- Language
- EN