Euler-Maclaurin formulas for functions of bounded variation

Published 25 Dec 2016 in math.FA | (1612.08737v2)

Abstract: The first-order Euler-Maclaurin formula relates the sum of the values of a smooth function on an interval of integers with its integral on the same interval on $\mathbb R$. We formulate here the analogue for functions that are just of bounded variation.

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