On Hermite-Hadamard-type inequalities for second order differential inequalities with inverse-square potential

We consider the class of functions $ u\in C^2((0, \infty)) $ satisfying second-order differential inequalities in the form $ u''(x)+\frac{k}{x^2}u(x)\geq 0 $ for all $ x > 0 $. For this class of functions, we establish Hermite-Hadamard-type inequalities in both cases ($ k=\frac{1}{4...

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Bibliographic Details

Published in:	AIMS Mathematics
Main Authors:	Hassen Aydi, Bessem Samet, Manuel De la Sen
Format:	Article
Language:	English
Published:	AIMS Press 2024-05-01
Subjects:	hermite-hadamard-type inequalities second order differential inequalities convex functions convex functions on the coordinates
Online Access:	https://www.aimspress.com/article/doi/10.3934/math.2024874?viewType=HTML