Conjugate index
In mathematics, two real numbers are called conjugate indices if
Formally, we also define as conjugate to and vice versa.
Conjugate indices are used in Hölder's inequality, as well as Young's inequality for products; the latter can be used to prove the former. If are conjugate indices, the spaces Lp and Lq are dual to each other.
Properties
The following are equivalent characterizations of Hölder conjugates:*