On Determination of Best-Possible Constants in Integral Inequalities Involving Derivatives

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Norms (inequalities, more than one norm, etc.) of linear operators (47A30) Algorithms for approximation of functions (65D15) Linear boundary value problems for ordinary differential equations (34B05) Inequalities involving derivatives and differential and integral operators (26D10) Best constants in approximation theory (41A44)