On a formula for the computation of uniform integral means of piecewise continuous functions on the half-line

Abstract

For the computation of lower and upper limits of integral means of piecewise continuous functions as the length of the integration interval tends to +∞, we obtain a formula that permits one, without loss of generality, to assume that the endpoints of the integration interval belong to closed intervals into which the half-line is divided by any sequence in which the difference between neighboring terms tends to +∞.