On the Hilbert inequality.
On the homogeneous functions with two parameters and its monotonicity.
On the identric and logarithmic means.
On the impossibility of approximating convex functions with ones.
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,...
On the insertion of Darboux, Baire-one functions
On the insertion of Darboux functions
The main goal of this paper is to characterize the family of all functions f which satisfy the following condition: whenever g is a Darboux function and f < g on ℝ there is a Darboux function h such that f < h < g on ℝ.
On the intersection of the sets of the right and left internal approximate derivatives
On the Irreducibility of Polynomials Taking Small Values.
On the iteration of the hat-functions.
On the iterative process
On the jump set of solutions of the total variation flow
On the Kolmogorov-Stein inequality.
On the k-pseudo-symmetrical approximate differentiability