Related papers: A generalization of an inequality from IMO 2005

Some extensions of an inequality from IMO'2001 are proven by means of the Lagrange multiplier criterion.

In this paper, we generalise an interesting geometry problem from the 1995 edition of the International Mathematical Olympiad (IMO) using analytic geometry tools.

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…

In this note, we present an information diffusion inequality derived from an elementary argument, which gives rise to a very general Fano-type inequality. The latter unifies and generalizes the distance-based Fano inequality and the…

In this paper we give a generalization of a result of Wei.

We prove some new retarded integral inequalities. The results generalize those in [J. Math. Anal. Appl. 301 (2005), no. 2, 265--275].

Aim of this article is to prove the inequality $n \sum_{i=1}^{n} a_ib_i \leq \sum_{i=1}^{n} a_i \sum_{i=1}^n b_i$ when $a_i$ are $n$ increasing positive real numbers and $b_i$ are $n$ decreasing real numbers. We also prove generalizations…

In this note we generalize the trace inequality derived by [1] to the case where the number of terms of the sum (denoted by K) is arbitrary.

In this article we discuss a generalized Wirtinger inequality.

In this note we prove an inequality involving primes and the product of consecutive primes.

We prove a uniformization theorem in complex algebraic geometry.

We prove some extensions of Andrews inequality.

We extend the inequality of Audenaert et al to general von Neumann algebras.

Equivalencies of many basic elementary inequalities are given

A generalisation of inner product spaces of an inequality due to Ostrowski and applications for sequences and integrals are given.

A generalization of Mercer inequality for h-convex function is presented. As application, a weighted generalization of triangle inequality is given.

We shall give a refinement of the arithmetic-geometric mean inequality.

In this note we present a refinement of the AM-GM inequality, and then we estimate in a special case the typical size of the improvement.

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