MathGloss

Let f:QRf:Q\to\mathbb R be a bounded function defined on the rectangle QQ in Rn\mathbb R^n. The upper integral of ff over QQ is the infimum over all partitions of QQ of the upper sum of QQ: Qf=infPU(f,P)\overline{\int_Q}f = \inf_P U(f,P)