Book sequence on convex analysis

[meanrev]

I'm looking for 1-2 rigorous books on convex analysis for someone who already has some exposure to convexity, linear and nonlinear programming in an applied course.

It seems that Rockafellar (Convex Analysis) and Fenchel (Convex Cones, Sets and Functions) is the classic treatment. Is there a more modern exposition? I see a few from a quick Amazon search, but I'm not in a good position to judge:

- Borwein and Lewis, Convex Analysis and Nonlinear Optimization
- Bertsimas, Convex Analysis and Optimization
- Zalinescu, Convex Analysis in General Vector Spaces

Thanks!

 

[meanrev]

Bumping this thread, any views?