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Volume 14, Number 4, 2024, Pages -
DOI:
10.11948/JAAC-2023-0347
On Hermite-Hadamard-type characterizations of higher-order differential inequalities
Mohamed Jleli,Bessem Samet
Keywords
:
Convexity
higher-order differential inequalities
subharmonic functions
sub-biharmonic functions
Hermite-Hadamard inequality
characterization
Abstract
:
Let $I$ be an open interval of $\mathbb{R}$ and $f: I\to \mathbb{R}$. It is well-known that $f$ is convex in $I$ if and only if, for all $x,y\in I$ with $x
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