- #1
St41n
- 32
- 0
I don't understand how it is possible to show using the Minkowski's Inequality that
[itex] (\sum x_i )^a \leq \sum x_i^a[/itex] where [itex] x_i \geq 0 \forall i [/itex] and [itex] 0<a<1 [/itex].
I also tried to prove this without using Minkowski, but to no avail.
This is driving me crazy although it seems to be trivial in the literature.
I will appreciate any help
[itex] (\sum x_i )^a \leq \sum x_i^a[/itex] where [itex] x_i \geq 0 \forall i [/itex] and [itex] 0<a<1 [/itex].
I also tried to prove this without using Minkowski, but to no avail.
This is driving me crazy although it seems to be trivial in the literature.
I will appreciate any help