List the Chebyshev interpolation nodes x₁ ,x₂ ,x₃ , and x₄ in the interval [−2,2] for degree 3 Chebyshev interpolating polynomial. Find an upper bound for the Chebyshev interpolation error for f(x)=eˣ on the given interval.

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08-07-2024
Mathematics

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List the Chebyshev interpolation nodes x₁ ,x₂ ,x₃ , and x₄ in the interval [−2,2] for degree 3 Chebyshev interpolating polynomial. Find an upper bound for the Chebyshev interpolation error for f(x)=eˣ on the given interval.

Sagot :

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List the Chebyshev interpolation nodes x₁​ ,x₂​ ,x₃​ , and x₄​ in the interval [−2,2] for degree 3 Chebyshev interpolating polynomial. Find an upper bound for the Chebyshev interpolation error for f(x)=eˣ on the given interval.

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List the Chebyshev interpolation nodes x₁ ,x₂ ,x₃ , and x₄ in the interval [−2,2] for degree 3 Chebyshev interpolating polynomial. Find an upper bound for the Chebyshev interpolation error for f(x)=eˣ on the given interval.