Uniform approximation of functions through partitioning

It 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.