Related papers: An inequality regarding differential polynomial

In this paper we introduce a method of characteristic sets with respect to several term orderings for difference-differential polynomials. Using this technique, we obtain a method of computation of multivariate dimension polynomials of…

We prove a generalization of classical Montel's theorem for the mixed differences case, for polynomials and exponential polynomial functions, in commutative setting.

We give a new lower bound for the discrete norm of a polynomial on the circle

In this paper, we study the value distribution of zeros of certain nonlinear difference polynomials of entire functions of finite order.

We prove a certain duality relation for orthogonal polynomials defined on a finite set. The result is used in a direct proof of the equivalence of two different ways of computing the correlation functions of a discrete orthogonal polynomial…

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

We provide here a modest improvement upon a large sieve inequality for quadratic polynomial amplitudes orginally due to Liangyi Zhao.

We generalize the differential dimension polynomial from prime differential ideals to characterizable differential ideals. Its computation is algorithmic, its degree and leading coefficient remain differential birational invariants, and it…

A quadratic inequality is formulated in the paper. An estimate on the rate of decay of solutions to this inequality is obtained. This inequality is of interest in a study of dynamical systems and nonlinear evolution equations.

In this note we are concerned about the generalization of the GHS inequality for the Potts model. We also obtain by a different method the proof of the GHS inequality for the Ising model. We take advantage of a polynomial expansion and we…

We give a simple proof of a recently result concerning Hardy $q$-inequalities.

We give an estimate of the growth of a polynonial mapping of $C^n$.

A sharp quantitative polygonal isoperimetric inequality is obtained.

We give a counterexample to a recently conjectured variant of the Penrose inequality.

We obtain similar types of conclusions as that of Br\"{u}ck [1] for two differential polynomials which in turn radically improve and generalize several existing results. Moreover, a number of examples have been exhibited to justify the…

This paper uses differential spaces to obtain some new results in integrable Hamiltonian systems

We investigate the growth of the constants of the polynomial Hardy-Littlewood inequality.

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

An inequality, which combines the concept of completely monotone functions with the theory of divided differences, is proposed. It is a straightforward generalization of a result, recently introduced by two of the present authors.

In this short note, we improve the famous Reid Inequality related to linear operators.