INTRODUCTION The HIV pandemic disproportionately impacts young women. Worldwide, young women aged 15-24 are infected with HIV at rates twice that of young men, and young women alone account for nearly a quarter of all new HIV infections. The incommensurate HIV incidence in young - often poor - women underscores how social and economic inequalities shape the HIV epidemic. Confluent social forces...

In this paper we present refinements and improvement of the Young inequality in the context of linear bounded operators.

In the present paper, by Haagerup theorem, we show that if A ∈ Mn is a non scalar strictly positive matrix and 0 < ν < 1 be a real number such that ν 6= 12 , then there exists X ∈ Mn such that ‖AνXA1−ν‖ > ‖νAX + (1− ν)XA‖.

Using a sharp version of the reverse Young inequality, and a Rényi entropy comparison result due to Fradelizi, Madiman, and Wang, the authors are able to derive a Rényi entropy power inequality for log-concave random vectors when Rényi parameters belong to (0, 1). Furthermore, the estimates are shown to be somewhat sharp.

In this talk we deal with a more precise estimates for the matrix versions of Young, Heinz, and Hölder inequalities. First we give an improvement of the matrix Heinz inequality for the case of the Hilbert-Schmidt norm. Then, we refine matrix Young-type inequalities for the case of Hilbert-Schmidt norm, which hold under certain assumptions on positive semidefinite matrices appearing therein. Fin...

Previous research has shown that the UK low levels of financial literacy by international standards, particularly among those in lower socio-economic groups. This may have an impact upon young people, with social inequalities attitudes, behaviours and skills perpetuating across generations. Using parent-child linked survey data from 3,745 families, we find sizeable people’s capabilities, aspect...