Ostrowski Type Inequalities over Spherical Shells

2000 Mathematics Subject Classification: 26D10, 26D15.

Inequalities and Asymptotic Formulae for the Three Parametric Mittag-Leffler Functions

MSC 2010: 33E12, 30A10, 30D15, 30E15

Variational Markov chain Monte Carlo for Bayesian smoothing of non-linear diffusions

In this paper we develop set of novel Markov Chain Monte Carlo algorithms for Bayesian smoothing of partially observed non-linear diffusion processes. The sampling algorithms developed herein use a deterministic approximation to the posterior distribution over paths as the proposal distribution for a mixture of an independence and a random walk sampler. The approximating distribution is sampled by simulating an optimized time-dependent linear diffusion process derived from the recently developed variational Gaussian process approximation method. The novel diffusion bridge proposal derived from the variational approximation allows the use of a flexible blocking strategy that further improves mixing, and thus the efficiency, of the sampling algorithms. The algorithms are tested on two diffusion processes: one with double-well potential drift and another with SINE drift. The new algorithm's accuracy and efficiency is compared with state-of-the-art hybrid Monte Carlo based path sampling. It is shown that in practical, finite sample applications the algorithm is accurate except in the presence of large observation errors and low to a multi-modal structure in the posterior distribution over paths. More importantly, the variational approximation assisted sampling algorithm outperforms hybrid Monte Carlo in terms of computational efficiency, except when the diffusion process is densely observed with small errors in which case both algorithms are equally efficient. © 2011 Springer-Verlag.

Geometric inequalities for initial data with symmetries

We consider a class of initial data sets (Σ,h,K) for the Einstein constraint equations which we define to be generalized Brill (GB) data. This class of data is simply connected, U(1)²-invariant, maximal, and four-dimensional with two asymptotic ends. We study the properties of GB data and in particular the topology of Σ. The GB initial data sets have applications in geometric inequalities in general relativity. We construct a mass functional M for GB initial data sets and we show:(i) the mass of any GB data is greater than or equals M, (ii) it is a non-negative functional for a broad subclass of GB data, (iii) it evaluates to the ADM mass of reduced t − φi symmetric data set, (iv) its critical points are stationary U(1)²-invariant vacuum solutions to the Einstein equations. Then we use this mass functional and prove two geometric inequalities: (1) a positive mass theorem for subclass of GB initial data which includes Myers-Perry black holes, (2) a class of local mass-angular momenta inequalities for U(1)²-invariant black holes. Finally, we construct a one-parameter family of initial data sets which we show can be seen as small deformations of the extreme Myers- Perry black hole which preserve the horizon geometry and angular momenta but have strictly greater energy.

Socioeconomic inequalities of cardiovascular risk factors among manufacturing employees in the Republic of Ireland: a cross-sectional study

Objectives: To explore socioeconomic differences in four cardiovascular disease risk factors (overweight/obesity, smoking, hypertension, height) among manufacturing employees in the Republic of Ireland (ROI). Methods: Cross-sectional analysis of 850 manufacturing employees aged 18–64 years. Education and job position served as socioeconomic indicators. Group-specific differences in prevalence were assessed with the Chi-squared test. Multivariate regression models were explored if education and job position were independent predictors of the CVD risk factors. Cochran–Armitage test for trend was used to assess the presence of a social gradient. Results: A social gradient was found across educational levels for smoking and height. Employees with the highest education were less likely to smoke compared to the least educated employees (OR 0.2, [95% CI 0.1–0.4]; p b 0.001). Lower educational attainment was associated with a reduction in mean height. Non-linear differences were found in both educational level and job position for obesity/overweight. Managers were more than twice as likely to be overweight or obese relative to those employees in the lowest job position (OR 2.4 [95% CI 1.3–4.6]; p = 0.008). Conclusion: Socioeconomic inequalities in height, smoking and overweight/obesity were highlighted within a sub-section of the working population in ROI.

Digital and Social Inequalities : A Qualitative Assessment of the Impact of the Connecting Equality Program on Argentinean Youth

This paper focuses on the ties between social and digital inequalities among Argentinean youth. It uses a qualitative approach to explore different aspects of the everyday lives of adolescents, such as sociability, leisure time and family use of Information and Communication Technologies (ICTs), in order to assess the impact of the Connecting Equality Program (Programa Conectar Igualdad, PCI) on reducing digital inequalities and fostering social inclusion. What were the existing conditions of access for students and their families when the PCI was first implemented? What influence does the implementation of the PCI have on the individual, family and scholastic appropriation of ICTs? How does the use of computers and the Internet vary among youth? Has this large-scale incorporation of netbooks in schools, and especially homes and free time changed it in any way? Does the appropriation of ICTs through student participation in the PCI contribute to material and symbolic social inclusion? In order to answer these questions, we compare the processes of ICT appropriation among lower and middle class adolescents, focusing on the distinctive uses and meanings assigned to computers and the Internet by boys and girls in their daily lives. For this purpose we analyze data collected through semi-structured interviews in two schools in Greater La Plata, Argentina during 2012. The main findings show that in terms of access, skills and types of use, the implementation of the PCI has had a positive impact among lower class youth, guaranteeing access to their first computers and promoting the sharing of knowledge and digital skills with family members. Moreover, evidence of more diverse and intense use of ICTs among lower class students reveals the development of digital skills related to educational activities. Finally, in terms of sociability, having a personal netbook enables access to information and cultural goods which are very significant in generating ties and strengthening identities and social integration

Digital and Social Inequalities : A Qualitative Assessment of the Impact of the Connecting Equality Program on Argentinean Youth

This paper focuses on the ties between social and digital inequalities among Argentinean youth. It uses a qualitative approach to explore different aspects of the everyday lives of adolescents, such as sociability, leisure time and family use of Information and Communication Technologies (ICTs), in order to assess the impact of the Connecting Equality Program (Programa Conectar Igualdad, PCI) on reducing digital inequalities and fostering social inclusion. What were the existing conditions of access for students and their families when the PCI was first implemented? What influence does the implementation of the PCI have on the individual, family and scholastic appropriation of ICTs? How does the use of computers and the Internet vary among youth? Has this large-scale incorporation of netbooks in schools, and especially homes and free time changed it in any way? Does the appropriation of ICTs through student participation in the PCI contribute to material and symbolic social inclusion? In order to answer these questions, we compare the processes of ICT appropriation among lower and middle class adolescents, focusing on the distinctive uses and meanings assigned to computers and the Internet by boys and girls in their daily lives. For this purpose we analyze data collected through semi-structured interviews in two schools in Greater La Plata, Argentina during 2012. The main findings show that in terms of access, skills and types of use, the implementation of the PCI has had a positive impact among lower class youth, guaranteeing access to their first computers and promoting the sharing of knowledge and digital skills with family members. Moreover, evidence of more diverse and intense use of ICTs among lower class students reveals the development of digital skills related to educational activities. Finally, in terms of sociability, having a personal netbook enables access to information and cultural goods which are very significant in generating ties and strengthening identities and social integration

Digital and Social Inequalities : A Qualitative Assessment of the Impact of the Connecting Equality Program on Argentinean Youth

This paper focuses on the ties between social and digital inequalities among Argentinean youth. It uses a qualitative approach to explore different aspects of the everyday lives of adolescents, such as sociability, leisure time and family use of Information and Communication Technologies (ICTs), in order to assess the impact of the Connecting Equality Program (Programa Conectar Igualdad, PCI) on reducing digital inequalities and fostering social inclusion. What were the existing conditions of access for students and their families when the PCI was first implemented? What influence does the implementation of the PCI have on the individual, family and scholastic appropriation of ICTs? How does the use of computers and the Internet vary among youth? Has this large-scale incorporation of netbooks in schools, and especially homes and free time changed it in any way? Does the appropriation of ICTs through student participation in the PCI contribute to material and symbolic social inclusion? In order to answer these questions, we compare the processes of ICT appropriation among lower and middle class adolescents, focusing on the distinctive uses and meanings assigned to computers and the Internet by boys and girls in their daily lives. For this purpose we analyze data collected through semi-structured interviews in two schools in Greater La Plata, Argentina during 2012. The main findings show that in terms of access, skills and types of use, the implementation of the PCI has had a positive impact among lower class youth, guaranteeing access to their first computers and promoting the sharing of knowledge and digital skills with family members. Moreover, evidence of more diverse and intense use of ICTs among lower class students reveals the development of digital skills related to educational activities. Finally, in terms of sociability, having a personal netbook enables access to information and cultural goods which are very significant in generating ties and strengthening identities and social integration

Progress and the Lack of Progress in Addressing Infant Health and Infant Health Inequalities in Ireland during the 20th Century

There is a growing literature which documents the importance of early life environment for outcomes across the life cycle. Research, including studies based on Irish data, demonstrates that those who experience better childhood conditions go on to be wealthier and healthier adults. Therefore, inequalities at birth and in childhood shape inequality in wellbeing in later life, and the historical evolution of the mortality and morbidity of children born in Ireland is important for understanding the current status of the Irish population. In this paper, I describe these patterns by reviewing the existing literature on infant health in Ireland over the course of the 20th century. Up to the 1950s, infant mortality in Ireland (both North and South) was substantially higher than in other developed countries, with a large penalty for those born in urban areas. The subsequent reduction in this penalty, and the sustained decline in infant death rates, occurred later than would be expected from the experience in other contexts. Using records from the Rotunda Lying-in Hospital in Dublin, I discuss sources of disparities in stillbirth in the early 1900s. Despite impressive improvements in death rates since that time, a comparison with those born at the end of the century reveals that Irish children continue to be born unequal. Evidence from studies which track people across the life course, for example research on the returns to birthweight, suggests that the economic cost of this early life inequality is substantial.

Routledge International Handbook of Rural Studies.:Understanding the association between rural ethnicity and inequalities

Rural areas are facing demographic transformation. Some localities have experienced significant levels of (internal and international) immigration in recent decades. In other rural places, a shifting minority: majority ratio (arising mainly from increased minority fertility and decreases in the majority population) is altering the rural landscape. It is this context of increasingly diverse rural societies that frames this chapter. It begins by examining inequalities arising from ethnicity in a rural context. The review proceeds by identifying how different factors, including recent patterns of international migration and historical legacies of ethnic diversity, intertwine to produce multi-cultural rural areas. First of all an overview of the significance of the ‘ethnic’ label is presented, recognizing its limitations and also its usefulness. Having established this context the chapter proceeds by highlighting the way in which rural ethnic inequalities are measured and also the particular challenges of measuring rural poverty. The processes that produce inequalities among ethnic groups are examined, with particular attention on migration and space and place, but mindful of historical legacies along with economic transformations and associated recent migration patterns. Finally, the conclusion of the chapter highlights gaps and identifies areas for future research agendas.

Smoking during pregnancy by duration of residence among immigrants in Sweden 1991-2012 : A study on health inequalities

This study revisits the effect of duration by residence in relation to smoking during pregnancy. It contributes to the literature by incorporating a health inequity perspective, and discusses whether immigrants tend to converge with Swedish women’s smoking. The study is based on Swedish Medical Birth Register and includes 1 1864 52 pregnancies between 1991 and 2012. Logistic regression was performed to attain crude and adjusted Odds Ratios and 95 % confidence intervals. Immigrants’ are divided by categorizing countries of origin depending on levels of Human Development (IHDI). Overall immigrant women show low levels of smoking during pregnancy when they arrive to Sweden, by duration of residence levels of smoking increase and converge with smoking patterns of Swedish women. I found that there are differences in smoking patterns depending on IHDI of the country. Immigrant women of higher categories of IHDI show higher levels of smoking although the increase of smoking is higher among immigrant women from categories of lower IHDI. However, immigrant women’s smoking during pregnancy is affected by duration of residence, and the increased smoking is associated with health inequalities related to their country of origins IHDI, and by socioeconomic inequalities in Sweden. 

The Reversal of Gender Inequalities in Enrollment in Higher Education in Cape Verde

Higher education is nowadays the main driver of development of knowledge, science and hence, the wellbeing of various people in different countries. On the other hand, gender inequalities represent a delay toward this status. Gender inequalities have been proven to be a great barrier to the development of the full human being’s potential and if it manifests in education, their effect will be worse. This research paper seeks to determine what drives the reversal of gender inequalities in enrollment in higher education in Cape Verde. The paper outlines the struggles for a more equal society and look for different reasons behind this phenomenon. This study has brought out some barriers that interfere with an equal enrollment in that level of Education. The objective of this study is to raise awareness about the need to change the positive measures related to girls, and use some of them to encourage boys in the education field because they are lagging behind in all levels of education.

Local action on health inequalities: practice resources

These documents explain factors contributing to inequality in public health and set out methods for local bodies to reduce them. Documents The Marmot Review (2010) made a range of recommendations to reduce health inequalities in England. Building on the Review, the UCL Institute of Health Equity has produced 4 papers which include evidence, and examples of practical action that can be taken at a local level to reduce health inequalities. They are designed for people working in local services, particularly: directors of public health and public health teams people working in local authorities services that may influence health and wellbeing, such as planning health and wellbeing boards These practice resources build on a series of papers published in 2014 to support local action on health inequalities.

NI health and social care inequalities monitoring system (HSCIMS) - health inequalities in Northern Ireland: key facts 2015

This key facts publication provides an interim update to the NI health & social care inequalities monitoring system (HSCIMS) regional reports which are published every other year. It presents a summary of the latest position and inequality gaps between the most deprived areas and both the least deprived areas and the NI average in addition to a regional comparison with rural areas for a range of health outcomes included within the HSCIMS series, in addition to the health survey Northern Ireland (HSNI).