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 |