@inproceedings{f768364be70d4f028b038fa1f44f9636,
title = "Almost convex functions: Conjugacy and duality",
abstract = "We prove that the formulae of the conjugates of the precomposition with a linear operator, of the sum of finitely many functions and of the sum between a function and the precomposition of another one with a linear operator hold even when the convexity assumptions are replaced by almost convexity or nearly convexity. We also show that the duality statements due to Fenchel hold when the functions involved are taken only almost convex, respectively nearly convex.",
keywords = "Almost convex functions, Conjugate functions, Fenchel duality, Nearly convex functions",
author = "Bo{\c t}, \{Radu Ioan\} and Grad, \{Sorin Mihai\} and Gert Wanka",
year = "2007",
month = dec,
day = "1",
doi = "10.1007/978-3-540-37007-9\_5",
language = "English",
isbn = "9783540370062",
series = "Lecture Notes in Economics and Mathematical Systems",
pages = "101--114",
booktitle = "Generalized Convexity and Related Topics",
}