Related papers: Burkholder inequality by Bregman divergence

We prove the Aharoni Berger Conjecture

In this work, the q-analogue of Bernoulli inequality is proved. Some other related results are presented.

In this paper, we prove an inequality regarding the differential polynomial. This improves some recent results.

In this note we prove a converse of Bohr's equivalence theorem for Dirichlet series under some natural assumptions.

We study a weighted version of Carleman's inequality via Carleman's original approach. As an application of our result, we prove a conjecture of Bennett.

We formulate and discuss a conjecture which would extend a classical inequality of Bernstein.

We prove some special cases of Bergeron's inequality involving two Gaussian polynomials (or $q$-binomials).

We prove a variation of Gronwall's lemma.

We prove a stability version of the Pr\'ekopa-Leindler inequality.

In this note we prove a weighted version of the Khintchine inequalities.

We obtain simple proofs of certain inequalites for bivariate means.

This article describes a new proof of the equality condition for the Brunn-Minkowski inequality.

We proposed a proof of the Riemann hypothesis. The proof is based on the Nyman-Beurling-Baez-Duarte condition. By proving existence of the solution for a system of inequalities, we can show that there is a sequence, which act as the…

We study an inequality suggested by Littlewood, our result refines a result of Bennett.

We are proving a Bernstein type inequality in the shift-invariant spaces of $L_2(R)$.

In this article we discuss a generalized Wirtinger inequality.

We prove some extensions of Andrews inequality.

We give a simple proof of a recently result concerning Hardy $q$-inequalities.

We give a counterexample to a recently conjectured variant of the Penrose inequality.

In this note I give an information-theoretic proof of the Bonami-Beckner-Gross hypercontractive inequality.