Polynomials of Least Deviation from Zero in Sobolev p-Norm

Abstract The first part of this paper complements previous results on characterization polynomials least deviation from zero in Sobolev p -norm ( $$1<p<\infty $$ 1 < p ∞ ) for the case $$p=1$$ = . Some relevant examples are indicated. second deals with location zeros discrete -norm. asymptotic distribution is established general conditions. Under some order restriction part, we prove that n -th polynomial has at $$n-\mathbf {d}^*$$ n - d ∗ convex hull support measure, where $$\mathbf denotes number terms part.