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Cosmographic analysis with Chebyshev polynomials

Monthly Notices of the Royal Astronomical Society, 2018
Salvatore Capozziello   +2 more
exaly  

Hermite interpolation on Chebyshev nodes

Summary: Let \(H_{2n+1}(f;x)\) be the value of the Hermite interpolation operator of degree \(2n+1\) constructed on the nodes \(x_k= \cos k\pi/n\), \(k=0,1, \dots,n\) at the function \(f(x)\in C^2[-1,1]\). Norm estimates for the interpolation operators are derived and it is proved that \(H_{2n+1}(f;x)\) converges in the \(C^1\)-norm to \(f(x)\).
openaire   +1 more source

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