Related papers: A generalization of an inequality from IMO 2005

The aim of this article is to establish new two-functions minimax inequalities extending classical results such as Simons' minimax theorem. Our results will be proved in a non-compact setting. We also prove, under general conditions, that…

In this paper, we improve the famous Reid Inequality related to linear operators. Some monotony results for positive operators are also established with a different approach from what is known in the existing literature. Lastly, Reid and…

We give a very short proof of the Golden-Thompson inequality

In this paper, we sharpen and generalize Shafer's inequality for the arc tangent function. From this, some known results are refined.

In this article, we obtain two interesting general inequalities concerning Riemman sums of convex functions, which in particular, sharpen Alzer's inequality and give a suitable converse for it.

The strengthened data processing inequality have been proved. The general theory have been illustrated on the simple example.

We give a generalization of the Shestakov-Umirbaev inequality which plays an important role in their solution of the tame generators conjecture.

In this note, we generalize an ancient Greek inequality about the sequence of primes to the cases of arithmetic progressions even multivariable polynomials with integral coefficients. We also refine Bouniakowsky's conjecture [16] and…

This article describes a new proof of the equality condition for the Brunn-Minkowski inequality.

In this note we prove optimal inequalities for bounded functions in terms of their deviation from their mean. These results extend and generalize some known inequalities due to Thong (2011) and Perfetti (2011)

In this paper, new inequalities connected with the celebrated Steffensen's integral inequality are proved.

Based on the local fractional calculus, we establish some new generalizations of H\"{o}lder's inequality. By using it, some results on the generalized integral inequality in fractal space are investigated in detail.

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.

A simple heuristic proof of an integral identity recently derived (Glasser ML 2011 J. Phys. A: Math. Theor. 44 225202) is presented.

We present a new proof of the "arithmetic" large sieve inequality, starting from the corresponding "harmonic" inequality, which is based on an amplification idea. We show that this also adapts to give some new sieve inequality for modular…

We give a simpler proof of a result of Holland concerning a mixed arithmetic-geometric mean inequality. We also prove a result of mixed mean inequality involving the symmetric means.

A generalization of the affine-geometric Wirtinger inequality for curves to hypersurfaces is given.

The aim of this paper is to provide a self-contained proof of a general case of the coarea inequality, also known as the Eilenberg inequality. The result is known, but we are not aware of any place that a proof would be written with all…

We obtain some inequalities which are stronger than the Schur majorization inequalities.

Young's inequality is extended to the context of absolutely continuous measures. Several applications are included.