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math.FA2008
On affine selections of set-valued functions
Szymon Wasowicz
The main result states that every convex set-valued function defined on a real interval with compact values in a locally convex space, admits an affine selection. In the case if th…
math.FA2008★ 8 cited
Some properties of generalized higher-order convexity
Szymon Wasowicz
The generalized divided differences are introduced. They are applied to investigate some properties characterizing generalized higher-order convexity. Among others some support-typ…
math.FA2008
Polynomial selections and separation by polynomials
Szymon Wasowicz
Necessary and sufficient conditions under which two real functions defined on the real interval can be separated by a polynomial are given. An immediate consequence of the main res…