Some Hermite-Hadamard Type Inequalities for Convex Functions Defined on Convex Bodies Via Gauss-Ostrogradsky Identity
In this paper, by the use of Gauss-Ostrogradsky identity, we establish some integral inequalities of Hermite-Hadamard type for functions of three variables defined on closed and bounded convex bodies of the Euclidean space R3. Some examples for 3-dimensional balls are also provided.
Authors
- Sever S Dragomir (ORCID: https://orcid.org/0000-0003-2902-6805)
Institutions
- La Trobe University (AU)
- Victoria University (AU)
Publication Details
- Journal
- Iranian Journal of Mathematical Sciences and Informatics
- Published
- 2025-04-01
- DOI
- https://doi.org/10.61186/ijmsi.20.1.175
- Primary Topic
- Mathematical Inequalities and Applications
- Type
- article
- Field-Weighted Citation Impact
- 0.00