Factorization of inequalities.
Fejér inequalities for Wright-convex functions.
Fejér-type inequalities. I.
Fixed points in functional inequalities.
Four inequalities similar to Hardy-Hilbert's integral inequality.
Fractional Hardy inequalities and visibility of the boundary
We prove fractional order Hardy inequalities on open sets under a combined fatness and visibility condition on the boundary. We demonstrate by counterexamples that fatness conditions alone are not sufficient for such Hardy inequalities to hold. In addition, we give a short exposition of various fatness conditions related to our main result, and apply fractional Hardy inequalities in connection with the boundedness of extension operators for fractional Sobolev spaces.
From the Prékopa-Leindler inequality to modified logarithmic Sobolev inequality
We develop in this paper an improvement of the method given by S. Bobkov and M. Ledoux in [BL00]. Using the Prékopa-Leindler inequality, we prove a modified logarithmic Sobolev inequality adapted for all measures on , with a strictly convex and super-linear potential. This inequality implies modified logarithmic Sobolev inequality, developed in [GGM05, GGM07], for all uniformly strictly convex potential as well as the Euclidean logarithmic Sobolev inequality.
Functional inequalities associated with additive mappings.
Further development of an open problem.
Further development of an open problem concerning an integral inequality.
Further development of Qi-type integral inequality.
Further extension of Stolarsky's inequality with general weights.
Further reverse results for Jensen's discrete inequality and applications in information theory.