Young's inequality for products

Young's inequality for products states that for conjugate exponents

q, q^{'} > 1

and nonnegative

a, b

,

ab \leq \frac{a ^{q}}{q} + \frac{b ^{q^{'}}}{q ^{'}} .

Its weighted form absorbs a lower power into a coercive higher power at the cost of a constant.

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