Abstract
Our main goal in this article is to give some functional inequalities involving a (convex) functional and its Fenchel conjugate. As a consequence, we obtain some refinements of the so-called Fenchel inequality as well as its reverse. Inequalities of interest illustrating the previous theoretical results are provided as well.
Citation
Mustapha Raïssouli. "Refining and reversing the Fenchel inequality in convex analysis." Ann. Funct. Anal. 10 (2) 252 - 261, May 2019. https://doi.org/10.1215/20088752-2018-0022
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