We use the same notations for the interval E = [-1,1]. Show that 1 Mn+1 n+ 1 S 2n-1 M₁ 2n-1 Deduce from this that the transfinite diameter of [-1, 1] is equal to 1/2.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.3: Zeros Of Polynomials
Problem 69E
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We use the same notations
for the interval E = [-1,1].
Show that
1
Mn+1
n+ 1
s
2n-1 Mn
2n-1
Deduce from this that the transfinite diameter of [-1, 1] is equal to 1/2.
Transcribed Image Text:We use the same notations for the interval E = [-1,1]. Show that 1 Mn+1 n+ 1 s 2n-1 Mn 2n-1 Deduce from this that the transfinite diameter of [-1, 1] is equal to 1/2.
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