Related papers: A random version of Simons' inequality

The purpose of this paper is to establish the regularity the weak solutions for a nonlinear biharmonic equation.

This paper deals with (finite or infinite) sequences of arbitrary independent events in some probability space. We find sharp lower bounds for the probability of a union of such events when the sum of their probabilities is given. The…

In this paper we investigate the notion of conditional independence and prove several information inequalities for conditionally independent random variables.

In this paper, by using the representation theorem for sublinear expectations, we give a simple proof to obtain two inequalities about the sample mean for independent random vectors under sublinear expectations.

Inequalities for norms of different versions of the geometric mean of two positive definite matrices are presented.

The main aim of the present note is to prove new Hadamard like integral inequalities for the product of the convex functions.

In this paper the double-sided Talor's approximations are used to obtain generalisations and improvements of some trigonometric inequalities.

The main objective of this paper is to obtain generalization of some Gruss-type inequalities in case of functional bounds by using a generalized Katugampola fractional integral.

In this paper we first provide a method to compute confidence intervals for the center of a piecewise normal distribution given a sample from this distribution, under certain assumptions. We then extend this method to an asymptotic setting,…

Some new sufficient conditions for the weighted Chebyshev's inequality for real numbers to hold are provided.

We introduce a new, elementary method for studying random differences in arithmetic progressions and convergence phenomena along random sequences of integers. We apply our method to obtain significant improvements on previously known…

We give lower bounds on the case of worst inhomogeneous approximation.

We shall give a refinement of the arithmetic-geometric mean inequality.

In this paper, some new Gronwall type inequalities involving iterated integrals are given.

An inequality is derived for the correlation of two univariate functions operating on symmetric bivariate normal random variables. The inequality is a simple consequence of the Cauchy-Schwarz inequality.

The main goal of this article is to present new types of inequalities refining and reversing inequalities of the harmonic mean of scalars and matrices. Furthermore, implementing the spectral decomposition of positive matrices, we present a…

We extend a general Bernstein-type maximal inequality of Kevei and Mason (2011) for sums of random variables.

The aim of this paper is twofold. The first is to give a quantitative version of Schmidt's subspace theorem for arbitrary families of higher degree polynomials. The second is to give a generalization of the subspace theorem for arbitrary…

In this note we study how to share a good between n players in a simple and equitable way. We give a short proof for the existence of such fair divisions.

We present an entropy comparison result concerning weighted sums of independent and identically distributed random variables.