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The mean value theorem for multiple integral. (Chinese. English summary) Zbl 1164.26307

Summary: By the path-connectedness of an open domain and the intermediate value theorem for univariate continuous function, this paper proves a mean value theorem for multiple integral in the Lebesgue senses.

MSC:

26A24 Differentiation (real functions of one variable): general theory, generalized derivatives, mean value theorems
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