 Borell–Brascamp–Lieb inequality

The Borell–Brascamp–Lieb (BBL) inequality is a result in the field of measure theory and functional analysis, particularly in the study of convex functions and their relationships to volume measures and integrals. It generalizes several well-known inequalities, including the Brunn-Minkowski inequality. The inequality provides a way to compare the integrals of convex functions with respect to measures that are related through certain kinds of convex combinations.