The article investigates the local and boundary behavior of mappings with branching that satisfy inverse inequality Poletsky type. It is proved this type are logarithmically Hölder-continuous under condition function Q responsible for a distortion modulus families curves integrable. A continuous extension indicated to obtained. In addition, conditions which mentioned equicontinuous inside domai...

‎Some improvements of Young inequality and its reverse for positive‎ ‎numbers with Kantorovich constant $K(t‎, ‎2)=frac{(1+t)^2}{4t}$‎ ‎are given‎. ‎Using these inequalities some operator inequalities and‎ ‎Hilbert-Schmidt norm versions for matrices are proved‎. ‎In‎ ‎particular‎, ‎it is shown that if $a‎, ‎b$ are positive numbers and‎ ‎$0 leqslant nu leqslant 1,$ then for all integers $ kgeqsl...

This paper analyzes the impact of rural-to-urban migration on income inequality and gender wage gap in source regions using a newly constructed panel dataset for around 100 villages over a ten-year period from 1997 to 2006 in China. Since income inequality is time-persisting, we use a system GMM framework to control for the lagged income inequality, in which contemporary emigration is also vali...

In the convergence analysis of numerical methods for solving partial differential equations (such as finite element methods) one arrives at certain generalized eigenvalue problems, whose maximal eigenvalues need to be estimated as accurate as possible. We apply symbolic computation methods to the situation of square elements and are able to improve the previously known upper bound by a factor o...

This paper argues that the conventional approach of data averaging is problematic for exploring the growth–inequality nexus. It introduces the polynomial inverse lag (PIL) framework so that the impacts of inequality on investment, education, and ultimately on growth can be measured at precisely defined time lags. Combining PIL with simultaneous systems of equations, we analyze the growth–inequa...

This paper presents new evidence on the relationship between corruption and income inequality. Using a panel data methodology, we find that lower corruption is associated with higher income inequality in Latin America. This result is in contrast to other empirical studies but it makes sense in Latin America for a number of reasons. The finding of an inverse relationship between inequality and c...

In this paper, we investigate the Mill’s ratio estimation problem and get two new inequalities. Compared to the well known results obtained by Gordon, they becomes tighter. Furthermore, we also discuss the inverse Q-function approximation problem and present some useful results on the inverse solution. Numerical results confirm the validness of our theoretical analysis. In addition, we also pre...