What is the justification for this inequality?(adsbygoogle = window.adsbygoogle || []).push({});

[tex]\int_0^1(|u(s)|+|v(s)|)(|u(s)|-|v(s)|)ds\leq \left(\int_0^1(|u(s)|^2+|v(s)|^2)ds\right)^{1/2}\left(\int_0^1(|u(s)-v(s)|^2)ds\right)^{1/2}[/tex]

where u and v are complex-valued square-integrable Riemann integrable functions on [0,1].

Thx.

**Physics Forums | Science Articles, Homework Help, Discussion**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# What is the justification for this inequality?

**Physics Forums | Science Articles, Homework Help, Discussion**