Related papers: Burkholder inequality by Bregman divergence

In this article we derive some polynomial inequalities for Mertens functions.

We show that it is consistent that the Borel Conjecture and the dual Borel Conjecture hold simultaneously.

The purpose of the paper is to present an short proof of the Chuang's inequality.

We introduce a new criterion which if satisfied implies the Riemann hypothesis.

A refinement of the Hardy inequality has been presented by use of superquadratic function.

Some extensions of an inequality from IMO'2001 are proven by means of the Lagrange multiplier criterion.

We prove two correlation inequalities .

A proof of the continuous martingale convergence theorem is provided. It relies on a classical martingale inequality and the almost sure convergence of a uniformly bounded non-negative super-martingale, after a truncation argument.

A proposed solution to the Riemann Hypothesis

We give a remarkably elementary proof of the Brouwer fixed point theorem. The proof is verifiable for most of the mathematicians.

Baiocchi et al. generalized a few years ago a classical theorem of Ingham and Beurling by means of divided differences. The optimality of their assumption has been proven by the third author of this note. The purpose of this note to extend…

We present an elementary proof for an approximate expression of the Bergman kernel on homogeneous spaces, and products of them. The error term is exponentially small with respect to the inverse semiclassical parameter.

The aim of this article is to give some improvements of Jordan-Steckin and Becker-Stark inequalities discussed in [1].

Bregman divergences generalize measures such as the squared Euclidean distance and the KL divergence, and arise throughout many areas of machine learning. In this paper, we focus on the problem of approximating an arbitrary Bregman…

In this note, we give a simple, counting based proof of Fisher's Inequality that does not use any tools from linear algebra.

In this note, we find a new inequality involving primes and deduce several Bonse-type inequalities.

In this paper, we prove a conjecture of Schnell in the surface case.

New results related to the Bombieri generalisation of Bessel's inequality in inner product spaces are given.

We give a stability version of of the Blaschke-Santal\'{o} inequality in the plane.

In this paper the circulant Hadamard conjecture is proved.