f_n → f uniformly on S iff sup_{x∈S} |f_n(x) − f(x)| → 0. Stronger than pointwise; preserves continuity and swaps limits with integrals.
f_n → f uniformly on S iff sup_{x∈S} |f_n(x) − f(x)| → 0. Stronger than pointwise; preserves continuity and swaps limits with integrals.