Related papers: An inequality regarding differential polynomial

In this paper, we prove some inequalities for the differences and ratios of the beta function.

We discuss various aspects of representation of a polynomial as a sum of monomials (for example, uniqueness of such representation and related estimations).

In this paper, we present an improvement of a large sieve type inequality in high dimensions and discuss its implications on a related problem.

Linear differential equations of arbitrary order with polynomial coefficients are considered. Specifically, necessary and sufficient conditions for the existence of polynomial solutions of a given degree are obtained for these equations. An…

The Simes inequality has received considerable attention recently because of its close connection to some important multiple hypothesis testing procedures. We revisit in this article an old result on this inequality to clarify and…

The aim of this note is to show that Poincar\'e inequalities imply corresponding weighted versions in a quite general setting. Fractional Poincar\'e inequalities are considered, too. The proof is short and does not involve covering…

We obtain a close to the best possible version of the large sieve inequality with amplitudes given by the values of a polynomial with integer coefficients of degree $\geq 2$.

In this article we discuss a generalized Wirtinger inequality.

The purpose of this paper was to give an algebraic analog of Poincare duality. But there is a mistake in the proof of the main theorem. It will be corrected as soon as possible.

We give a formula and an estimation for the number of irreducible polynomials in two (or more) variables over a finite field.

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

We prove an improved form of an expectation of Polya and discuss several related questions

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

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

Based on a new idea of factorization, we prove an improved discrete Rellich inequality and discuss its optimality. We also give a conjecture on improved higher order discrete Hardy-like inequalities and formulate an open problem for the…

We provide a new characterization of the logarithmic Sobolev inequality.

In this article we consider a method of proving a class of inequalities of the form (1). The method is based on the precise approximations of the sine and cosine functions by Maclaurin polynomials of given order. By using this method we…

In this paper, we establish some integral ineuqalities for n- times differentiable quasi-convex functions.

In the paper, some lower bounds for polygamma functions are refined.

We prove a binomial formula for Macdonald polynomials and consider applications of it.