关于Young不等式的几点推广

对Young不等式的成立条件做了一些变化而形成了一些新的不等式,给出了Young不等式的多维形式,并且推广了Young不等式的成立范围,并给出了多种证明。     

French Decentralisation of the Performing Arts and Regional Economic Disparities

The standard deviation, the Gini coefficient, entropy measures and Atkinson's indexes are used to study French regional inequalities for per capita subsidies to the performing arts, as compared to GDP per worker, from 1992 to 2002. The two former indexes are more sensitive to transfers around the average, while the others are more sensitive to transfers at the lower end of the distribution scale. Whereas regional disparities remained stable for GDP per worker, they decreased for per capita subsidies to institutions and companies but increased for festivals. State subsidies are less unequal than local grants, so that a balanced decentralisation seems to rely upon some state control.     

对柯西不等式的探讨

1柯西不等式的基本形式及推广由文献知柯西不等式(cauchy)表述为:对任意a1,a2…,aa;b1,b2…ba∈R,有(a1b1 a2b2 … anbn)2(a21 a22 …a2n)(b21 b22 …b2n),当且仅当a1b1=a2b2=A=anbn时,等号成立(简记为∑ni=1aibj2n∑i=1a2i∑ni=1b2i).柯西不等式有着非常广泛的应用,下面先介绍     

《Pedoe不等式的再推广》的一个注记

将《Pedoe不等式的再推广》一文中的结论推广到p∈[0,2]的情形,并相应给出有关不等式中等号成立的充要条件．     

The under-recognition of the significance of social class conceptions of education in Piketty’s Capital

Abstract

Piketty’s Capital has created enormous interest around the world, not least in educational circles. One reason for this may be his readiness to refer, in a book largely focused on economic history, to the ways that education has, and might, contribute to better and more equal social outcomes. This article welcomes this approach, but argues that Piketty’s suggestions remain somewhat limited due to his adherence to a more or less distributional, rather than relational, approach, and then sets out to address this issue by arguing that the assumption that it is the distribution of credentials which accounts for their contribution is mistaken. Instead, the article advances arguments which recognize the separate contributions of the content of credentials, and their valorization. The main focus of this article is thus on the different ways educational credentials are realized, which, it is argued, is a major basis for the maintenance of educational inequality.     

p=5的Hardy不等式的一个加强改进

对P=5的Hardy不等式，建立如下的加强不等式∞∑n=1（1/nn∑k=1ak）^9〈（5/4）%5∞∑n=1（1-1/[（5n^4/5）/2＋0.624]＋1/[（5n^4/5）^3＋（5n^4/5）^2/24]）ak^5其中an≥0（n∈N）,1〈∞∑n=1an^5〈∞.     

共轭A-调和张量的A1(Ω)加权积分不等式

利用H lder不等式,我们得到了共轭A-调和张量的局部和整体A1(Ω)加权积分不等式,这些积分不等式可以看作是经典结论的推广.     

VARIATIONAL INEQUALITY IN ELASTOPLASTIC PROBLEMS

In this paper,the incremental theory of an elastoplastic problem is trans-formed to a variational inequality.The existence and uniqueness of the variationalinequality are proved for the materials in which the Drucker postulate is satisfied.And theconvergence of the finite element solutions is also discussed.     

三个积和式不等式

积和式理论在概率统计等领域有较广泛应用,该文给出三个有用的积和式不等式,并给出详细的证明.     

Inequalities in the education system and the reproduction of socioeconomic disparities in voting in England,Denmark and Germany: the influence of country context,tracking and self-efficacy on voting intentions of students age 16–18

This article performs exploratory research using a mixed-methods approach (structural equation modelling and a thematic analysis of interview data) to analyse the ways in which socioeconomic disparities in voting patterns are reproduced through inequalities in education in different national contexts, and the role of self-efficacy in this process. The evidence suggests that in Germany and England students with lower socioeconomic status (SES) have lower levels of general self-efficacy, and that this is reinforced through early experiences of inequalities in the education system, such as within- or between-school selection. Low levels of general self-efficacy are then found to reduce political self-efficacy and voting intentions. In Germany and England, it is these students who enter initial vocational education and training (IVET). The experience of IVET then reinforces the distinctions in civic engagement, probably either through peer socialisation and/or curriculum differences. In Denmark, where SES has a weaker association with track placement, the experience of being placed in IVET plays a stronger role in reducing political self-efficacy and voting intentions.