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
Main Authors: Jleli Mohamed, Samet Bessem
Format: Article
Language:English
Published: De Gruyter 2023-09-01
Series:Open Mathematics
Subjects:
Online Access:https://doi.org/10.1515/math-2023-0115