In this paper we consider the problem of best approximation in (), 1 ≤ ≤ ∞. If , 1 ≤ ∞, denotes the best -approximation of the element ∈ ℝ from a proper affine subspace of ℝ, ∉ , then , where is a best -approximation of from , the so-called natural best -approximation. Our aim...