Let be the usual Lebesgue measurable space.

Using Holder inequality, prove Minkowski inequality for any , that is

i am stuck and dont know what to do. any help would be appreciated.

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- Jan 2nd 2010, 04:00 PMArchiminkowski inequality
Let be the usual Lebesgue measurable space.

Using Holder inequality, prove Minkowski inequality for any , that is

i am stuck and dont know what to do. any help would be appreciated. - Jan 3rd 2010, 08:20 AMputnam120
Imitate the proof of the triangle inequality. (that is start by squaring both sides) Then you can use Holder's inequality with

- Jan 4th 2010, 04:09 PMArchi
- Jan 4th 2010, 08:23 PMputnam120

From here you should be able to see how to use Holder's.