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.

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# What is the justification for this inequality?

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