Euler-Maclaurin formulas for functions of bounded variation
classification
🧮 math.FA
keywords
boundedeuler-maclaurinfunctionsintervalvariationanaloguefirst-orderformula
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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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