We prove the smallest possible norm of a linear perturbation making a closed convex process nonsurjective is the inverse of the norm of the inverse process. This generalizes the fundamental property of the condition number of a linear map. We then apply this result to strengthen a theorem of Renegar measuring the size of perturbation necessary to make an inequality system inconsistent.

We prove Hausdorff-Young inequality for the Fourier transform connected with Riemann-Liouville operator. We use this inequality to establish the uncertainty principle in terms of entropy. Next, we show that we can derive the Heisenberg-Pauli-Weyl inequality for the precedent Fourier transform.

We consider an inverse problem arising from an time-dependent driftdiffusion model in semiconductor devices, which is formulated in terms of a system of parabolic equations for the electron and hole densities and the Poisson equation for the electric potential. This inverse problem aims to identify the doping profile from the final overdetermination data of the electric potential. By using the ...

In this paper, a class of mixed inverse variational inequalities is introduced and studied. We prove the existence of the solution of the auxiliary problem for mixed inverse variational inequalities, suggest a predictor-corrector method for solving the mixed inverse variational inequalities by using the auxiliary principle technique. Then it is shown that the convergence of the new method requi...

based on both animal and human studies, inequality in food intake and social instability has adverse effects on the health of individuals and the community. however, it is not known whether social instability, food deprivation and food inequality affect neuronal death and premature aging in young animals. to address this question, the effects of these adverse situations, histopathological chang...

What inequality means for children: evidence from young lives. Background paper for the Global Thematic Consultation “Addressing Inequalities” in the post-2015 Development Agenda Other How to cite: Woodhead, Martin; Dornan, Paul and Murray, Helen (2012). What inequality means for children: evidence from young lives. Background paper for the Global Thematic Consultation “Addressing Inequalities”...