OBJECTIVES Cross-national studies have rarely focused on young people. The aim of this study is to investigate whether macro-level determinants are associated with health and socioeconomic inequalities in young people's health. STUDY DESIGN Data were collected from the Health Behaviour in School-aged Children (HBSC) study in 2006, which included 11- to 15-year old adolescents from 27 European...

A classical inequality of L. C. Young is extended to higher dimensions, and using this extension sufficient conditions for the existence of integral ∫ [0,1]n fdg are given, where both f and g are functions of finite higher variations.

We obtain central limit theorems for additive functionals of stationary fields under integrability conditions on the higher-order spectral densities. The proofs are based on the Hölder-Young-Brascamp-Lieb inequality. AMS 2000 Classification: 60F05, 62M10, 60G15, 62M15, 60G10, 60G60

In this paper, we give refinements of the classical Young inequality for scalars and use these to establish refined some type inequalities trace, determinants, norms positive definite matrices.

Jensen’s inequality is sometimes called the king of inequalities [4] because it implies at once the main part of the other classical inequalities (e.g. those by Hölder, Minkowski, Young, and the AGM inequality, etc.). Therefore, it is worth studying it thoroughly and refine it from different points of view. There are numerous refinements of Jensen’s inequality, see e.g. [3-5] and the references...