Formula:217

Digital Library of Mathematical Functions ID 1.7.E5

${\displaystyle{\displaystyle\int_{a}^{b}f(x)g(x)\mathrm{d}x\leq\left(\int_{a}^{b}(f(x))^{p}\mathrm{d}x\right)^{1/p}\left(\int_{a}^{b}(g(x))^{q}\mathrm{d}x\right)^{1/q}.}}$

Symbols List

• ${\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}$: differential of x
• ${\displaystyle{\displaystyle\int}}$: integral
• ${\displaystyle{\displaystyle p>1}}$: > p 1
• ${\displaystyle{\displaystyle q}}$: number
 

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