On the Erdös-Debrunner inequality.
On the estension of Lipschitz functions with respect to two Hilbert norms and two Lipschitz conditions
On the estimation of averages over infinite intervals with an application to average persistence in population models.
On the existence of positive solutions for certain difference equations and inequalities.
On the extended Hardy's inequality.
On the extended Hilbert's integral inequality.
On the Hadamard's inequality for log-convex functions on the coordinates.
On the Heisenberg-Weyl inequality.
On the Hermite-Hadamard inequality and other integral inequalities involving two functions.
On the Hilbert inequality.
On the Hilbert inequality.
On the homogeneous functions with two parameters and its monotonicity.
On the identric and logarithmic means.
On the Inequality ... .
On the inequality of Mathieu.
On the inequality of Mathieu.
On the inequality of P. Turán for Legendre polynomials.
On the inequality of the difference of two integral means and applications for pdfs.
On the Inequality ...pi f(pi) > piif(qi).
On the infimum convolution inequality
We study the infimum convolution inequalities. Such an inequality was first introduced by B. Maurey to give the optimal concentration of measure behaviour for the product exponential measure. We show how IC inequalities are tied to concentration and study the optimal cost functions for an arbitrary probability measure μ. In particular, we prove an optimal IC inequality for product log-concave measures and for uniform measures on the balls. Such an optimal inequality implies, for a given measure,...