Hello everyone!

If we have functions, f1(t), f2(t), etc. all positive in our observation window, plus:

for all , does it follow that:

?

i.e. is the saying "minimum sum equals sum of minima" correct here?

Thanks!

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- January 16th 2012, 02:03 AMrebghbMinimum sum equals sum of minima?
Hello everyone!

If we have functions, f1(t), f2(t), etc. all positive in our observation window, plus:

for all , does it follow that:

?

i.e. is the saying "minimum sum equals sum of minima" correct here?

Thanks! - January 16th 2012, 03:05 AMAckbeetRe: Minimum sum equals sum of minima?
It does follow from a basic theorem in analysis. That is, the theorem holds when N = 2, and I think you could induct on N.