Fan, Jianghua; Yang, Binni The mean value theorem for multiple integral. (Chinese. English summary) Zbl 1164.26307 Math. Pract. Theory 37, No. 12, 197-200 (2007). 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. Cited in 1 Document MSC: 26A24 Differentiation (real functions of one variable): general theory, generalized derivatives, mean value theorems Keywords:mean value theorem for integral; path-connected subset; Lebesgue integral PDFBibTeX XMLCite \textit{J. Fan} and \textit{B. Yang}, Math. Pract. Theory 37, No. 12, 197--200 (2007; Zbl 1164.26307)