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In mathematics, two real numbers p , q > 1 {\displaystyle p,q>1} are called conjugate indices if
Formally, we will also define q = ∞ {\displaystyle q=\infty } as conjugate to p = 1 {\displaystyle p=1} and vice versa.
Conjugate indices are used in Hölder's inequality. Also, if p , q > 1 {\displaystyle p,q>1} are conjugate indices, the spaces L and L are dual to each other.
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