We study Whitney-type estimates for approximation of convex functions in the uniform norm on various convex multivariate domains while paying a particular attention to the dependence of the involved constants on the dimension and the geometry of the domain.

翻译：本文研究在多种凸多变量区域上，用均匀范数逼近凸函数时的Whitney型估计，特别关注所涉及常数对区域维数与几何结构的依赖性。