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
On the Kurzweil integral for functions with values in ordered spaces. II.
On the limits of sequences of Darboux a.e. quasi-continuous functions
On the Limits of Simple Means.
On the linear Denjoy property of two-variable continuous functions
The classical Denjoy-Young-Saks theorem gives a relation, here termed the Denjoy property, between the Dini derivatives of an arbitrary one-variable function that holds almost everywhere. Concerning the possible generalizations to higher dimensions, A. S. Besicovitch proved the following: there exists a continuous function of two variables such that at each point of a set of positive measure there exist continuum many directions, in each of which one Dini derivative is infinite and the other...
On the local degree of plane analytic mappings.
On the lower hull of convex functions.