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：本文研究凸函数在各种凸多元域上一致范数逼近的Whitney型估计，特别关注相关常数对维数和域几何结构的依赖性。