Uniform approximation of functions through partitioning

AbstractIt is the purpose of this paper to present a method for the computation of best uniform approximation, through the replacement of the uniform norm by another norm designated by ∥ · ∥n and also by two pseudonorms designated by ps ∥ · ∥n and (A) ∥ · ∥n. Existence, uniqueness, characterization and computation of best approximations for ∥ · ∥n, ps ∥ · ∥n, and (A) ∥ · ∥n are examined