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Oct 29, 2012 at 16:28 comment added Alexander Chervov What about other X such that reordering will work? How to choose optimal or suboptimal reordering?
Oct 15, 2012 at 23:38 comment added Mark Lewko That was exactly my point. If there is a choice of X such that no reordering improves over the trivial estimate, what do you expect an answer to look like?
Oct 15, 2012 at 11:40 comment added Alexander Chervov Also, if X_i are positive real than |Y|_inf = |X|_1 , and permutation will not have any effect.
Oct 15, 2012 at 11:38 comment added Alexander Chervov May be I did not formulate the question correctly. I mean for GIVEN sequence of (X_1 ... X_N) how to find permutation that minimize ... ? Of course, if X_i=X_j then nothing can be done.
Oct 15, 2012 at 11:14 history answered Mark Lewko CC BY-SA 3.0