upper integral

0.03 sec.

upper integral [′əp·ər ′int·ə·grəl]

(mathematics)

The upper Riemann integral for a real-valued function ƒ(x) on an interval is computed to be the infimum of all finite sums over all partitions of the interval, the sums having terms given by (x_i-x_i-1)y_i, where thex_iare from a partition, andy_iis the largest value of ƒ(x) over the interval fromx_i-1tox_i.

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