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.
Citation
Mustapha Raïssouli. Rabie Zine. "Refining and reversing the Hermite–Hadamard inequality for the Fenchel conjugate." Ann. Funct. Anal. 10 (3) 357 - 369, August 2019. https://doi.org/10.1215/20088752-2018-0035
Information
