In the Wikipedia proof of the Minkowski inequality (http://en.wikipedia.org/wiki/Minkowski_inequality), the following inequality is used:
|f+g|^p ≤ 2^p-1(|f|^p+|g|^p).
I was just wondering if this inequality has a name or if this is too "first principles" to warrant a name.

Thanks!

In the Wikipedia proof of the Minkowski inequality (http://en.wikipedia.org/wiki/Minkowski_inequality), the following inequality is used:
$$|f+g|^p\leq2^{p-1}(|f|^p+|g|^p).$$
I was just wondering if this inequality has a name or if this is too "first principles" to warrant a name.

Thanks!