Mathematics – Functional Analysis
Scientific paper
2008-07-25
Studia Math. 120 (1996), 75-82
Mathematics
Functional Analysis
Scientific paper
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 result is the existence of the polynomial separation of
convex functions of higher order. Another application is some
Hyers-Ulam-stability-type result.
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