BACKGROUND Socioeconomic inequalities in childhood obesity have been reported in most developed countries, with obesity more common in deprived groups. Whether inequalities are found in the prevalence of underweight, the rest of the body mass index (BMI) distribution, or have changed across time is not clear. METHODS AND FINDINGS The sample comprised 5,027,128 children on entry (4 to 5 years ...

Abstract In parallel with the development of scholarship on migrant domestic work, feminist approach intersectionality differences has gained traction in social sciences recent decades. I do not have space here to account for different understandings and their methodological implications research (see Collins & Bilge, 2020; Lutz et al., 2016; Romero, 2017). Certainly fact that some sociolog...

In this paper, by the Minkowski’s inequalities we define two mappings, investigate their properties, obtain some refinements for Minkowski’s inequalities and some new inequalities.

We develop a technique to obtain new symmetrization inequalities that provide a unified framework to study Sobolev inequalities, concentration inequalities and sharp integrability of solutions of elliptic equations.

We present two classes of linear inequalities that the flag f vectors of zonotopes satisfy. These inequalities strengthen inequalities for polytopes obtained by the lifting technique of Ehrenborg.

The Padé approximation is a useful method for creating new inequalities and improving certain inequalities. In this paper we use the Padé approximant to give the refinements of some remarkable inequalities involving inverse trigonometric functions, it is shown that the new inequalities presented in this paper are more refined than that obtained in earlier papers.

For any given order of stochastic dominance, standard concentration curves are decomposed into contribution curves corresponding to within-group inequalities, between-group inequalities, and transvariational inequalities. We prove, for all orders, that contribution curve dominance implies systematically welfare-improving tax reforms and conversely. Accordingly, we point out some undesirable fis...

The present paper provides some new stochastic inequalities for the characteristics of the M/GI/1/n and GI/M/1/n loss queueing systems. These stochastic inequalities are based on substantially deepen upand downcrossings analysis, and they are stronger than the known stochastic inequalities obtained earlier. Specifically, for a class of GI/M/1/n queueing system, twoside stochastic inequalities a...

The comb inequalities are a well-known class of facet-inducing inequalities for the Traveling Salesman Problem, defined in terms of certain vertex sets called the handle and the teeth. We say that a comb inequality is simple if the following holds for each tooth: either the intersection of the tooth with the handle has cardinality one, or the part of the tooth outside the handle has cardinality...

In this paper, we present a revision on some of the recent progresses made in characterising and understanding information inequalities, which are the fundamental physical laws in communications and compression. We will begin with the introduction of a geometric framework for information inequalities, followed by the first non-Shannon inequality proved by Zhang et al. in 1998 [1]. The discovery...