Approximate mean limit of a function
= Approximate mean limit of a function
{title2=$\lim_{r\downarrow0}\frac1{|B_r(x)|}\int_{B_r(x)}|u(y)-a|\,dy=0$}
An <approximate mean limit of a function> is a value satisfying the displayed condition. Functions in the <BV space> have such finite limits outside an <approximate discontinuity set> up to negligible sets in the appropriate <measure>. Their <approximate jump points> instead have two distinct half-ball limits.