Khabibullin's conjecture on integral inequalities

Khabibullin's conjecture, proposed by the mathematician Ildar Khabibullin, revolves around integral inequalities related to certain classes of functions, particularly focusing on the relationships that hold for integrals of products of functions and their transformations. The conjecture suggests specific bounds and properties for these integrals, often drawing upon known results in functional analysis, inequalities, and perhaps the theory of convex functions.