OBJECTIVE To compare the trends in mortality inequalities by educational attainment with trends using area deprivation. SETTING Scotland and England & Wales (E&W). PARTICIPANTS All people resident in Scotland and E&W between 1981 and 2011 aged 35-79 years. PRIMARY OUTCOME MEASURES Absolute inequalities (measured using the Slope Index of Inequality (SII)) and relative inequalities (measure...

In this paper, we introduce a generalization of the continuous mixing set (which we refer to as the continuous n-mixing set) Qm,n := {(y, v, s) ∈ ( Z× Zn−1 + )m×Rm+1 + : ∑nt=1 αty t + vi + s ≥ βi, i = 1, . . . ,m}. This set is closely related to the feasible set of the multi-module capacitated lot-sizing (MML) problem with(out) backlogging. For each n′ ∈ {1, . . . , n}, we develop a class of va...

Flow cover inequalities are among the most effective valid inequalities for solving capacitated fixed-charge network flow problems. These valid inequalities are implications on the flow quantity on the cut arcs of a two-partitioning of the network, depending on whether some of the cut arcs are open or closed. As the implications are only on the cut arcs, flow cover inequalities can be modeled b...

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...