An introduction to polynomials on Banach spaces.
Richard Aron (2002)
Extracta Mathematicae
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Richard Aron (2002)
Extracta Mathematicae
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Czesław Matyszczyk (1977)
Studia Mathematica
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Kenneth O. Leland (1965-1966)
Compositio Mathematica
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Jacek Bochnak (1970)
Studia Mathematica
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A. Bazylewicz (1988)
Acta Arithmetica
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Jacek Bochnak, Józef Siciak (1971)
Studia Mathematica
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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.
Al-Salam, W.A., Carlitz, L. (1966)
Portugaliae mathematica
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Chatterjea, S.K. (1969)
Portugaliae mathematica
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J. Albrycht (1955)
Studia Mathematica
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