Work

Matrix Hermite–Hadamard type inequalities for bivariate convex functions

Year: 2026

Type: article

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.

Source: Journal of Inequalities and Applications

DOI: 10.1186/s13660-026-03426-7

Authors: Mohsen Kian, Mohsen Rostamian Delavar

Institution: University of Bojnord

Language: English

Topic: Mathematical Inequalities and Applications

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $2,190

OpenAlex ID: W7127409188

FWCI: 23.91

Cites: 11

Cited by: 2

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