Related papers: A Bernstein type inequality

An argument is provided for the equality case of the high dimensional Bonnesen inequality for sections. The known equality case of the Bonnesen inequality for projections is presented as a consequence.

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

A generalization of the H\"older inequality is considered. Its relations with a previously obtained improvement of the Cauchy--Schwarz inequality are discussed.

In this article we present a Bernstein inequality for sums of random variables which are defined on a spatial lattice structure. The inequality can be used to derive concentration inequalities. It can be useful to obtain consistency…

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

We show that the $\theta=\infty$ conjecture implies the Riemann hypothesis.

Young's integral inequality is complemented with an upper bound to the remainder. The new inequality turns out to be equivalent to Young's inequality, and the cases in which the equality holds become particularly transparent in the new…

We will establish the Caffarelli-Kohn-Nirenberg type inequalities with non-doubling weights being permitted. The classical Caffarelli-Kohn-Nirenberg type inequalities are categorized into non-critical and critical cases, and it is known…

We give necessary and sufficient conditions for the Chebyshev inequality to be an equality.

We survey the classical results of the Dirichlet Approximation Theorem.

In this note I provide two extensions of a particular case of the classical Poncelet theorem.

The more then hundred years old Bernstein inequality states that the supremum norm of the derivative of a trigonometric polynomial of fixed degree can be bounded from above by supremum norm of the polynomial itself. The reversed Bernstein…

We present a history of the Baum-Connes conjecture, the methods involved, the current status, and the mathematics it generated.

We discuss several classical and recent proofs of the isoperimetric inequality and the Sobolev inequality.

We give a new recurrent inequality on a class of vertex Folkman numbers.

We extend a conjecture of Kimberley-Robertson on the abelianizations of certain square complex groups.

We give an extension of Hoeffding's inequality to the case of supermartingales with differences bounded from above. Our inequality strengthens or extends the inequalities of Freedman, Bernstein, Prohorov, Bennett and Nagaev.

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

We provide new sufficient conditions under which Ryser's conjecture holds.

In this paper we are concerned with a long-standing conjecture of Huneke and Wiegand. We introduce a new class of ideals and prove thateach ideal from such class satisfies the conclusion of the conjecture in question. We also study the…