In this paper we prove a sharp affine Lp Sobolev inequality for functions on R. The new inequality is significantly stronger than (and directly implies) the classical sharp Lp Sobolev inequality of Aubin [A2] and Talenti [T], even though it uses only the vector space structure and standard Lebesgue measure on R. For the new inequality, no inner product, norm, or conformal structure is needed at...

Introduction: Taking into account the growth of increase in the elderly population in Iran and the world, and the emergence of the phenomenon of feminization of aging, the present study has been conducted, with aim of examining the relationship between anxiety about aging and the perceived  and experienced gender inequality among the women of Shiraz city (Iran). Methods: This cross-sectional s...

‎let $p(z)=z^s h(z)$ where $h(z)$ is a polynomial‎ ‎of degree at most $n-s$ having all its zeros in $|z|geq k$ or in $|z|leq k$‎. ‎in this paper we obtain some new results about the dependence of $|p(rz)|$ on $|p(rz)| $ for $r^2leq rrleq k^2$‎, ‎$k^2 leq rrleq r^2$ and for $rleq r leq k$‎. ‎our results refine and generalize certain well-known polynomial inequalities‎.

A Bell inequality which can be used to test locality more simply than Clauser-Horne inequality and which is violated by a larger magnitude of violation than Clauser-Horne-Shimony-Holt inequality Abstract A correlation inequality is derived from local realism and a supplementary assumption. Unlike Clauser-Horne (CH) inequality [or Clauser-Horne-Shimony-Holt (CHSH) inequality] which is violated b...

IN our efforts to understand the state of inequality today, we need first to define the key concepts and terms. Most crucially, we need to distinguish between international and global inequality in order to avoid terminological confusion. I explore these two concepts throughout the essay. Here it suffices to say that international inequality denotes the inequality between nations, more exactly ...

This paper contains the main results concerning the evaluation of the consumption distribution of Iran in terms of levels, shape, inequality and social welfare for the years 1989 and 1994. The results show that the shape of consumption distribution in Iran is showed to the right and there is a large gap between the average level of consumption in rural and urban areas. Inequality in Iran is rel...

In most statistical analysis, inequality or extent of variation in income isrepresented in terms of certain summary measures. But some authors arguedthat the concept of inequality is vague and thus cannot be measured as anexact concept. Therefore, fuzzy set theory provides naturally a useful toolfor such circumstances. In this paper we have introduced a real-valued fuzzymethod of illustrating t...

Introduction: Inequalities in urban environment are a significant concern. Socioeconomic level plays an important role in these inequalities. Inequality in environmental hazards is recognized as potential determinants of health disparities. Materials & Methods: In this study, we used individual and cumulative environmental hazard inequality indices to compare the inequality among 379 neighborh...