A+ CATEGORY SCIENTIFIC UNIT

Polynomial selections and separation by polynomials

Volume 120 / 1996

Szymon Wąsowicz Studia Mathematica 120 (1996), 75-82 DOI: 10.4064/sm-120-1-75-82

Abstract

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.

Authors

  • Szymon Wąsowicz

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