- #1
phonic
- 28
- 0
Dear all,
Does anyone know how to determine which of the following sum is larger? Thanks a lot!
[tex]
\sum_{i=1}^n a_i^{1/3}\sum_{i=1}^n a_i
[/tex]
[tex]
n\sum_{i=1}^n a_i^{4/3}
[/tex]
[tex]
a_i>0 \forall i
[/tex]
This is two polynomial of the same order. It is not clear to determine which one is larger, if I take the derivatives.
Does anyone know how to determine which of the following sum is larger? Thanks a lot!
[tex]
\sum_{i=1}^n a_i^{1/3}\sum_{i=1}^n a_i
[/tex]
[tex]
n\sum_{i=1}^n a_i^{4/3}
[/tex]
[tex]
a_i>0 \forall i
[/tex]
This is two polynomial of the same order. It is not clear to determine which one is larger, if I take the derivatives.