Abstract
In this paper, we give some refinements and reverses for the Hermite-Hadamard inequality when the integrand map is the Fenchel conjugate in convex analysis. The theoretical results obtained by our present functional approach immediately imply those of an operator version in a simple and elegant way. An application for scalar means is provided as well.
| Original language | English |
|---|---|
| Pages (from-to) | 357-369 |
| Number of pages | 13 |
| Journal | Annals of Functional Analysis |
| Volume | 10 |
| Issue number | 3 |
| DOIs | |
| State | Published - 2019 |
| Externally published | Yes |
Keywords
- Convex analysis
- Fenchel conjugate
- Hermite-Hadamard inequality
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