The extreme points of some classes of polynomials
1985 ◽
Vol 101
(1-2)
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pp. 99-110
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SynopsisWe study the extreme points of two classes of polynomials of degree at most n:It turns out that f ∈ Ext if and only if Re f(eiθ) has exactly 2n zeros in [0, 2π). On the other hand, if f∈Hn and 1−|f(eiθ)|2 has 2n zeros in [0, 2π), then either f ∈ Ext Hn or else f(z) = α + βzn where |α|+|β| = l and αβ≠0; if 1−|f(eiθ)|2 has 2m zeros, 2n, then f may or may not belong to Ext Hn.
1924 ◽
Vol 22
(3)
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pp. 282-286
Keyword(s):
1968 ◽
Vol 11
(4)
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pp. 527-531
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Keyword(s):
1979 ◽
Vol 31
(2)
◽
pp. 347-353
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Keyword(s):
1978 ◽
Vol 36
(1)
◽
pp. 216-217
Keyword(s):
1968 ◽
Vol 64
(1)
◽
pp. 1-1
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