Related papers: A Bernstein type inequality
We give a counterexample to a recently conjectured variant of the Penrose inequality.
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 study an inequality suggested by Littlewood, our result refines a result of Bennett.
We give an explicit counterexample to an entanglement inequality suggested in a recent paper [quant-ph/0005126] by Benatti and Narnhofer. The inequality would have had far-reaching consequences, including the additivity of the entanglement…
We show somewhat unexpectedly that whenever a general Bernstein-type maximal inequality holds for partial sums of a sequence of random variables, a maximal form of the inequality is also valid.
We prove some extensions of Andrews inequality.
This survey discusses the classical Bernstein and Markov inequalities for the derivatives of polynomials, as well as some of their extensions to general sets.
We give the counter-examples related to a Gaussian Brunn-Minkowski inequality and the (B) conjecture.
We extend a general Bernstein-type maximal inequality of Kevei and Mason (2011) for sums of random variables.
This paper deals with the famous isoperimetric inequality. In a first part, we give some new functional form of the isoperimetric inequality, and in a second part, we give a quantitative form with a remainder term involving Wasserstein…
In this note, we find a new inequality involving primes and deduce several Bonse-type inequalities.
We prove Burkholder inequality using Bregman divergence.
We present a short proof of a conjecture proposed by I. Ra\c{s}a (2017), which is an inequality involving basic Bernstein polynomials and convex functions. This proof was given in the letter to I. Ra\c{s}a (2017). The methods of our proof…
We put a new conjecture on primes from the point of view of its binary expansions and make a step towards justification.
In this note, we generalize an ancient Greek inequality about the sequence of primes to the cases of arithmetic progressions even multivariable polynomials with integral coefficients. We also refine Bouniakowsky's conjecture [16] and…
In this article we discuss a generalized Wirtinger inequality.
We are proving a Bernstein type inequality in the shift-invariant spaces of $L_2(R)$.
We obtain some new inequalities of Chebyshev Type.
The main purpose of the present article is to give some new Hilbert's sum type inequalities, which in special cases yield the classical Hilbert's inequalities. Our results provide some new estimates to these types of inequalities.
Robin's Conjecture is strengthened, deformed, and proved. Nicolas conjecture follows.