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...
Main Authors: | , , |
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Format: | Article |
Language: | English |
Published: |
AIMS Press
2024-03-01
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Series: | AIMS Mathematics |
Subjects: | |
Online Access: | https://www.aimspress.com/article/doi/10.3934/math.2024586?viewType=HTML |