Talk:Fenchel's duality theorem

Negation Notation
In Section "Mathematical theorem", why the unwieldy notation with negated functions
 * $$p^* = \inf_{x \in X} \{f(x) + g(Ax)\}$$
 * $$d^* = \sup_{y^* \in Y^*} \{-f^*(A^*y^*) - g^*(-y^*)\}$$

instead of
 * $$p^* = \inf_{x \in X} \{f(x) + g(Ax)\}$$
 * $$d^* = \inf_{y^* \in Y^*} \{f^*(A^*y^*) + g^*(-y^*)\}$$

? — Preceding unsigned comment added by 132.185.132.13 (talk) 10:12, 29 April 2014 (UTC)

Answering my own (stupid) question: Because $$\sup_{y^* \in Y^*} \{-f^*(A^*y^*) - g^*(-y^*)\} = -\inf_{y^* \in Y^*} \{f^*(A^*y^*) + g^*(-y^*)\}$$ which is equally unwieldy. — Preceding unsigned comment added by 132.185.132.13 (talk) 11:08, 29 April 2014 (UTC)

Sup Notation
Is there a reason "max" rather than "sup" is used in the lede? Jess_Riedel (talk) 03:07, 2 July 2017 (UTC)

Thanks for noticing that. It was left over from a much earlier version which had min/max. Encyclops (talk) 18:28, 3 July 2017 (UTC)