Best local approximation and lateral differentiability
H. H. Cuenya, D. E. Ferreyra · Jaen journal on approximation · 2013
In this paper we give sufficient conditions over the differentiability of a function to assure existence of the best local approximant in Lp-spaces, 0 < p ≤ ∞. These conditions are weaker than those given in previous works. For p = 2 we show that, in certain way, they are also necessary. In addition, we characterize the best local approximant