相关论文: On an inequality suggested by Littlewood

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 prove some extensions of Andrews inequality.

We formulate and discuss a conjecture which would extend a classical inequality of Bernstein.

In this paper we provide a family of inequalities, extending a recent result due to Albuquerque et al.

We prove new results, related to the Littlewood and Mixed Littlewood conjectures in Diophantine approximation.

We give a simple proof of a recent result by J. Schleischitz dealing with a counterexample to the uniform Littlewood conjecture. Our construction is based on simple properties of Fibonacci numbers.

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

We improve constants in the Rademacher-Menchov inequality.

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

In this paper, by making use of one of Chen's theorems and the method of mathematical analysis, we refine Edwards-Child's inequality and solve a conjecture posed by Liu.

Leggett formulated an inequality which seems to generalize the Bell theorem to non-local hidden variable theories. Leggett inequality is violated by quantum mechanics, as was confirmed by experiment. However, a careful analysis reveals that…

This paper aims to characterize the function appearing in the weighted Hermite-Hadamard inequality. We provide improved inequalities for the weighted means as applications of the obtained results. Modifications of the weighted…

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

We give a short proof of a slightly weaker version of the multilinear Kakeya inequality proven by Bennett, Carbery, and Tao.

In this work, a generalization of the well known Bernoulli inequality is obtained by using the theory of discrete fractional calculus. As far as we know our approach is novel.

We obtain simple proofs of certain inequalites for bivariate means.

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

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.

We extend a result of Levin and Ste\v{c}kin concerning an inequality analogous to Hardy's inequality.

An observation on Hall-Littlewood polynomials.