On Hermite-Hadamard-type inequalities for systems of partial differential inequalities in the plane

We establish necessary conditions for the existence of solutions to various systems of partial differential inequalities in the plane. The obtained conditions provide new Hermite-Hadamard-type inequalities for differentiable functions in the plane. In particular, we obtain a refinement of an inequal...

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Bibliographic Details

Published in:	Open Mathematics
Main Authors:	Jleli Mohamed, Samet Bessem
Format:	Article
Language:	English
Published:	De Gruyter 2023-09-01
Subjects:	systems of partial differential inequalities hermite-hadamard-type inequalities convex functions convex functions on the coordinates 26b25 26d10 35a23
Online Access:	https://doi.org/10.1515/math-2023-0115