Following the development of weighted asymptotic approximation properties matrices, we introduce analogous uniform (that is, study improvability Dirichlet's Theorem). An added feature is use general norms, rather than supremum norm, to quantify approximation. In terms homogeneous dynamics, an $m \times n$ matrix are governed by a trajectory in $\mathrm{SL}_{m+n}({\mathbb R})/\mathrm{SL}_{m+n}({...

In professional soccer, the choices made in forming a team lineup are crucial for achieving good results. Players characterized by different skills and their relevance depends on position that they occupy pitch. Experts can recognize similarities between players styles, but procedures adopted often subjective prone to misclassification. The automatic recognition of players’ styles based diversi...

We present a Chebyshev-type characterization for the best uniform approximations of periodic continuous functions by functions of the class M = ff(x) : f(x) = Z 2 0 K(x; y)h(y) dy; jh(y)j 1 a: e:; y 2 0; 2)g; where K(x; y) is a strictly cyclic variation diminishing kernel. x1 Introduction Let W r 1 a; b] be the Sobolev class of functions in C r?1 a; b] whose (r?1)st derivative is absolutely con...