In this paper, an optimal inequality involving the delta curvature is exposed. With help of some characterizations about vertical motion and horizontal divergence are obtained.

Economic inequality, in particular vertical inequality income and wealth within countries, 1 has widened considerably with potentially dramatic economic, political social consequences. 2 Reflecting the need for urgent action on United Nation’s Sustainable Development Goal (SDG) 10 focuses reduction of various forms between countries. 3 In that context, a number recent interventions have sought ...

Characterizations results for equality cases and for rigidity of equality cases in Steiner’s perimeter inequality are presented. (By rigidity, we mean the situation when all equality cases are vertical translations of the Steiner’s symmetral under consideration.) We achieve this through the introduction of a suitable measure-theoretic notion of connectedness and a fine analysis of barycenter fu...

Characterizations results for equality cases and for rigidity of equality cases in Steiner perimeter inequality are presented. (By rigidity, we mean the situation when all equality cases are vertical translations of the Steiner symmetral under consideration.) We achieve this through the introduction of a suitable measure-theoretic notion of connectedness and a fine analysis of barycenter functi...

In this paper, we construct an elaborate general equilibrium model with a continuum of production fragments for intermediate good, then embed it in growth to address the effects global fragmentation, vertical specialization and trade on inequality small developing country. Among other results, show that economy grows faster than rest world as result fragmentation intermediates if is skilled-lab...

Scholars and policy-makers increasingly treat occupational sex segregation as a generic indicator of female economic disadvantage. This view is difficult to reconcile with evidence that levels of sex segregation are lower in reputably ‘gender-traditional’ countries such as Italy, Japan, and Portugal than in ‘progressive’ Sweden and the United States. Understanding such seemingly anomalous patte...

in this paper, two pairs of new inequalities are given, which decompose two hilbert-type inequalities.