hold uniformly for all r -times continuously differentiable test functions φ φ : : R d → → R with unit C r norm, supported in the unit ball about the origin in R d , for all points x , y ∈ ∈ K , all 0 < λ λ ≤ ≤ 1 , and all τ τ ∈ ∈ T α α with β β < α α ≤ ≤ γ γ . Here φ φ x λ λ : : R d → → R denotes the shifted and scaled version of φ φ given by