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：我们研究多元凸域上一致范数下凸函数逼近的Whitney型估计，特别关注涉及常数对凸域维度和几何结构的依赖性。