Annals of Functional Analysis
- Ann. Funct. Anal.
- Volume 10, Number 2 (2019), 252-261.
Refining and reversing the Fenchel inequality in convex analysis
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.
Ann. Funct. Anal., Volume 10, Number 2 (2019), 252-261.
Received: 16 June 2018
Accepted: 19 August 2018
First available in Project Euclid: 19 March 2019
Permanent link to this document
Digital Object Identifier
Mathematical Reviews number (MathSciNet)
Zentralblatt MATH identifier
Primary: 46N10: Applications in optimization, convex analysis, mathematical programming, economics
Secondary: 30D05: Functional equations in the complex domain, iteration and composition of analytic functions [See also 34Mxx, 37Fxx, 39-XX] 39B72: Systems of functional equations and inequalities
Raïssouli, Mustapha. Refining and reversing the Fenchel inequality in convex analysis. Ann. Funct. Anal. 10 (2019), no. 2, 252--261. doi:10.1215/20088752-2018-0022. https://projecteuclid.org/euclid.afa/1552960863