Matrix Hermite–Hadamard type inequalities for bivariate convex functions

Key Points

• The study presents significant results regarding the Hermite–Hadamard inequality for bivariate functions and matrices.
• Results indicate that separately convex bivariate functions lead to majorization and norm inequalities, expanding previous conclusions.
• Assessment using matrix convexity identifies a set of inequalities relevant to bivariate matrix functions, enhancing understanding in this area.
• These findings generalize earlier research on the Hermite–Hadamard inequality, indicating broader implications in convex analysis.

Abstract