Displaying similar documents to “Polynomials and multilinear mappings in topological vector-spaces”

Polynomial selections and separation by polynomials

Szymon Wąsowicz (1996)

Studia Mathematica

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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.