Related papers: A generalization of an inequality from IMO 2005

In this paper, we introduce and prove the generalizations of Radon inequality. The proofs in the paper unify and are simpler than those in former work. Meanwhile, we also find mathematical equivalences among the Bernoulli inequality, the…

The purpose of this paper is to provide a random version of Simons' inequality.

A great number of articles widen a known scientific result $P(a)$ (such as: a theorem, an inequality, or a math/physics/chemical etc. proposition or formula) by a simple recurrence procedure and using, in the proof, the proposition $P(a)$…

Some inequalities for different types of convexity are established.

An improvement of a global Gagliardo-Nienberg inequality with a BMO term is established.

Companion results to the Bombieri generalisation of Bessel's inequality in inner product spaces are given.

In this short paper we show that the inequality of arithmetic and geometric means is reduced to another interesting inequality, and a proof is provided.

We give necessary and sufficient conditions for the Chebyshev inequality to be an equality.

In this note, we present a refinement of the well-known AM-GM inequality. We use this improved inequalty to establish corresponding inequalities on Hilbert space. We also give some refinements of the Kantorovich inequality.

In this paper, we prove Newton-Maclaurin type inequalities for functions obtained by linear combination of two neighboring primary symmetry functions, which is a generalization of the classical Newton-Maclaurin inequality.

Preliminary results from Nathanson [5] are used to prove the Muirhead and Rado inequalities.

A generalized skew information is defined and a generalized uncertainty relation is established with the help of a trace inequality which was recently proven by J.I.Fujii. In addition, we prove the trace inequality conjectured by S.Luo and…

In this paper, we prove an inequality regarding the differential polynomial. This improves some recent results.

We extend a result of Holland on a mixed arithmetic-geometric mean inequality.

In this paper we shall prove a sharpened version of the Finsler-Hadwiger inequality which is a strong generalization of Weitzenbock inequality. After that we give another refinement of this inequality and in the final part we provide some…

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

In this article we consider mathematical fundamentals of one method for proving inequalities by computer, based on the Remez algorithm. Using the well-known results of undecidability of the existence of zeros of real elementary functions,…

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

We generalize McDiarmid's inequality for functions with bounded differences on a high probability set, using an extension argument. Those functions concentrate around their conditional expectations. We further extend the results to…