We prove a discrete version of the first Weber inequality on three-dimensional hybrid spaces spanned by vectors polynomials attached to elements and faces polyhedral mesh. then introduce two Hybrid High-Order methods for approximation magnetostatics model, in both its (first-order) field (second-order) vector potential formulations. These are applicable general meshes, allow arbitrary orders ap...

In this article we further develop a perturbation approach to the Rayleigh– Ritz approximations from our earlier work. We both sharpen the estimates and extend the applicability of the theory to nonnegative definite operators . The perturbation argument enables us to solve two problems in one go: We determine which part of the spectrum of the operator is being approximated by the Ritz values an...

where the second inequality follows from Cauchy-Schwartz. Furthermore, the CauchySchwartz inequality holds with equality for all vectors x in the one-dimensional subspace spanned by the all-ones vector. Therefore, it is not difficult to achieve Property 1 when the subspace X has small dimension. But we want the dimension to be very large, let us say, dim(X) = Ω(N). As it turns out, even with th...

in this paper, we extend some famous maximal inequalities and obtain strong laws of largenumbers for arbitrary random variables by use of these inequalities and martingale techniques.

in order to estimate the effects of the macrc~econornic indicators on the income distribution of iran, the time series data during the period of 1971-1991 were used. first the yammetric inequality indicators (the gini coefficients) were estimated for the years 1991-1972. the results show the lowest level of inequality in 1980 with g=0.42 and the highest level in 1982 with g=0.55. arzulysing the...

equitable distribution of income and economic growth are challenges for policy-makers. therefore, it is important to investigate the influencing factors of it. given that financial development is an important factor affecting on income inequality, in this study, the effect of financial development on the gini coefficient as income inequality index is examined with using panel data methods durin...

In order to research the properties of distance for uncertain variables, we introduced a new concept of p-distance. Then the properties of nonnegativity, identification, symmetry, and triangle inequality for the p-distance of uncertain variables and uncertain vectors were obtained. In the end, we deduced the metric space which is constituted by p-distance is complete.

We consider, for complete bipartite graphs, the convex hulls of characteristic vectors of matchings, extended by a binary number indicating whether the matching contains two specific edges. This polytope is associated to the quadratic matching problem with a single linearized quadratic term. We provide a complete irredundant inequality description, which settles a conjecture by Klein (Ph.D. the...