Thm The Arigonometric pdynomial of degree k minimbing (y₁ - S, (x₂)) ² is k. Sk(x) = a + Σ (a; cos(x) + b; sin (joc) + a₂ Cos (ko) 1=1.
Thm The Arigonometric pdynomial of degree k minimbing (y₁ - S, (x₂)) ² is k. Sk(x) = a + Σ (a; cos(x) + b; sin (joc) + a₂ Cos (ko) 1=1.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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See the formulas for reference.
Transcribed Image Text:Thm The trigonometric pdynomial of degree.
k minimbing Σ(y-S₂(x))² is
Sk(x) = a + (a cos(jx) + bj; siń (joc)) + a₂ cos (ko)
2
where.
j= 0,, k
j=1₂; k-1
q=
а
bj
=
-||-|
21-1
Σ y cos(joc;)
n i=0
ni=o
y sin (joci)
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