Polynomial selections and separation by polynomials
Tom 120 / 1996
Studia Mathematica 120 (1996), 75-82
DOI: 10.4064/sm-120-1-75-82
Streszczenie
K. Nikodem and the present author proved in [3] a theorem concerning separation by affine functions. Our purpose is to generalize that result for polynomials. As a consequence we obtain two theorems on separation of an n-convex function from an n-concave function by a polynomial of degree at most n and a stability result of Hyers-Ulam type for polynomials.
