Holder inequality
= Holder inequality
{c}
{title2=$1/p+1/q=1$}
For conjugate exponents $p,q$,
$$
\int|fg|\leq\|f\|_p\|g\|_q,
$$
with the analogous inequality $\sum_n|x_ny_n|\leq\lVert x\rVert_p\lVert y\rVert_q$ for sequences.
= Holder inequality
{c}
{title2=$1/p+1/q=1$}
For conjugate exponents $p,q$,
$$
\int|fg|\leq\|f\|_p\|g\|_q,
$$
with the analogous inequality $\sum_n|x_ny_n|\leq\lVert x\rVert_p\lVert y\rVert_q$ for sequences.