A generalization of an inequality from IMO 2005

Generalizations of an Ancient Greek Inequality about the Sequence of Primes

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 Conjecture 2 in [22]. Moreover, we give two remarks on conjectures in [22]

Mercer's inequality for h-convex functions

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

Nesbitt不等式的新的高维推广及其相关应用

New high-dimensional generalizations of Nesbitt's inequality and relative applications

本文研究了Nesbitt不等式在维度和参数上的两种新推广，利用半凹半凸定理探讨其他情况，并推导出交替不等式、数学竞赛问题及Hurwitz-Lerch zeta函数的关系。

Generalizations of Holder's and some related integral inequalities on fractal space

Based on the local fractional calculus, we establish some new generalizations of Hölder's inequality. By using it, some results on the generalized integral inequality in fractal space are investigated in detail.

A new generalization of Ostrowski type inequality on time scales

In this paper we first extend a generalization of Ostrowski type inequality on time scales for functions whose derivatives are bounded and then unify corresponding continuous and discrete versions. We also point out some particular integral type inequalities on time scales as special cases.

A generalization of Ostrowski inequality on time scales for k points

In this paper we first generalize the Ostrowski inequality on time scales for k points and then unify corresponding continuous and discrete versions. We also point out some particular Ostrowski type inequalities on time scales as special cases.