High Quality Content by WIKIPEDIA articles! In mathematics, the Brascamp–Lieb inequality is a result in geometry concerning integrable functions on n-dimensional Euclidean space Rn. It generalizes the Loomis–Whitney inequality, the Prekopa–Leindler inequality and Holder's inequality, and is named after Herm Jan Brascamp and Elliott H. Lieb. The original inequality (called the geometric inequality here) is in. In mathematics, an integrable function is a function whose integral exists. Unless specifically stated, the integral in question is usually the Lebesgue integral. Otherwise, one can say that the function is "Riemann-integrable" (i.e., its Riemann integral exists), "Henstock-Kurzweil-integrable," etc.

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