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Sep 13, 2018 at 13:05 comment added Willie Wong @Mor: I will just apologize in advance that I don't think I will find the time to think too much about it. But if something occurs to me I'll of course edit.
Sep 13, 2018 at 11:13 comment added Mor @WillieWong Thank you for the answer. Please let me know if you find a way to prove the remaining case (which is indeed the case I'm really interested in).
Sep 10, 2018 at 6:54 comment added Daniel Soudry Ah, yes. Sorry, I misunderstood your previous comment (I thought it explained why you used $r < s$ instead of $r \leq s$).
Sep 10, 2018 at 1:08 comment added Willie Wong @DanielSoudry: see my previous comment? (I don't need $r < s$; it is that for the construction only the $r < s$ case is needed.)
Sep 8, 2018 at 12:39 comment added Daniel Soudry @WillieWong: Sorry if I'm missing something obvious: where and why do we need to use $r<s$ exactly? Wouldn't the next lines (e.g., the first equation stated after the condition) also hold if $r>s$?
Sep 4, 2018 at 14:50 comment added Willie Wong @Mor: just my personal laziness. (I didn't want to have to type $\leq$ everywhere, and the function involved in strictly convex, so I can get away without $\leq$ if I rule out $r = s$. So instead of $r \neq s$ I typed $r < s$, which happens to be true for the case we need.)
Sep 1, 2018 at 11:06 comment added Mor Thank you! Nice proof. One question - why do you need $r<s$?
Sep 1, 2018 at 10:48 vote accept Mor
Aug 31, 2018 at 14:08 history edited Willie Wong CC BY-SA 4.0
added 34 characters in body
Aug 31, 2018 at 13:50 history answered Willie Wong CC BY-SA 4.0