A generalization of convexity via an implicit inequality

We unified several kinds of convexity by introducing the class $ \mathcal{A}_{\zeta, w}([0, 1]\times I^2) $ of $ (\zeta, w) $-admissible functions $ F: [0, 1]\times I\times I\to \mathbb{R} $. Namely, we proved that most types of convexity from the literature generate functions $ F\in \mathcal{A}_{\z...

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Bibliographic Details
Main Authors: Hassen Aydi, Bessem Samet, Manuel De la Sen
Format: Article
Language:English
Published: AIMS Press 2024-03-01
Series:AIMS Mathematics
Subjects:
Online Access:https://www.aimspress.com/article/doi/10.3934/math.2024586?viewType=HTML