Arbitrary operator A on a Banach space X which is the generator of C0-group with certain growth condition at infinity is considered. The relationship between its exponential type entire vectors and its spectral subspaces is found. Inverse theorems on connection between the degree of smoothness of vector x ∈ X with respect to operator A, the rate of convergence to zero of the best approximation ...

the level of ecomomic (income or expenditure) inequality in khorasan province has been unknown. this paper tries to estimate and compare the trends of expenditure (income) inequality in khorasan province and the whole iran during 1971-2001 in two categories of urban and rural regions. for this purpose, inequality indices (gini coefficient and income deciles) were estimated parametrically. the r...

we study the effect of education and its expenditures, especially in higher education, on poverty and income inequality. using the keynesian approach it is shown that education, from the theoretical point of view, lowers poverty and income inequality level. in an empirical work we, used the data including 111 observations from 91 countries, with different human development levels, and concluded...

background: despite significant reduction in global disease prevalence, leprosy still has a high rate of disability while its determinants are unfair and many of them are amendable. the objective of this study was to measure inequality of disability in leprosy in iran. methods: this was a cross‑sectional study (2006‑2007) on all living people affected by leprosy registered in w. azerbaijan prov...

background: one of the main challenges of healthcare systems of developing countries is health inequality. health inequality means inequality in individuals’ ability and proper functioning, resulting in inequality in social status and living conditions, which thwarts social interventions implemented by the government. objectives: this study aimed to determine and prioritize the social determina...

background exploring changes in health inequality and its determinants over time is of policy interest. accordingly, this study aimed to decompose inequality in neonatal mortality into its contributing factors and then explore changes from 1995-2000 to 2005-2010 in iran.   methods required data were drawn from two iran’s demographic and health survey (dhs) conducted in 2000 and 2010. normalized...

The entropy power inequality (EPI) and the Brascamp-Lieb (BLI) are fundamental inequalities concerning differential entropies of linear transformations random vectors. EPI provides lower bounds for vectors with independent components. BLI, on other hand, upper a vector in terms some its transformations. In this paper, we define family functionals, which show subadditive. We then establish that ...

In this expository note, we give a modern proof of Hanson-Wright inequality for quadratic forms in sub-gaussian random variables. We deduce a useful concentration inequality for sub-gaussian random vectors. Two examples are given to illustrate these results: a concentration of distances between random vectors and subspaces, and a bound on the norms of products of random and deterministic matric...