Плоские разложения и их приложения

ИПМ им.М.В.Келдыша РАН • Электронная библиотека
Препринты ИПМ • Препринт № 23 за 2014 г.
Варин В.П.
Плоские разложения и их
приложения
Рекомендуемая форма библиографической ссылки: Варин В.П. Плоские разложения и их
приложения // Препринты ИПМ им. М.В.Келдыша. 2014. № 23. 25 с. URL:
http://library.keldysh.ru/preprint.asp?id=2014-23
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y1 , y2 ∈ S(B).
( ||.|| C[x0, ∞]#
y1 = y2 + h ! |h(x)| ≤ ||h|| ≤ B # 7! A = 0 ' P |P (y1 ) − P (y2 )| ≤
|P2 (y2, h)| + |P2 (h, y2)| + |P2 (h, h)| ≤ P2 (B, |h|) + P2 (|h|, B) + P2 (B, |h|) ≤
(2 P2(B, 1) + P2 (1, B)) ||h|| = 3 B P (1) ||h|| < ρ||h||.
2 3/4 B H(x) < ρ,
)80.
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x0 ∈ R#
)80. 0 < rhs(42) ## B H(x) < 4#
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'
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wn+1 = P (wn) &! !
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; s ≈ 0.664114672430392 & ≈ 30 "
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b = x1 − y(x1 ) ≈ 0.860393828760251.
2! ),:. x1 = 4# (
b )0A.5 y(x) ≈ x + C y1(x) + C 2 y2(x) C = C∗ ≈ 0.11686381064255.
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7 x0 = 0 C∗ < 2/9/H(x0) ≈ 0.125375463 ## E ! '
! )
b.5
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b = −x0 ≈ 0.88673978127115.
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