Meng Jia
Abstract
Because the Lagrange interpolation polynomial does not converge uniformly for an arbitrary continous function, two new operators U n(f;x) and n(f;x) are constructed,based on x (n) k=2k+12n+1 π (k=0,1,…,2n) as the interpolation nodes and the best convergence order of them are better than A n(f;x),B n(f;x),C n(f;x).
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Because the Lagrange interpolation polynomial does not converge uniformly for an arbitrary continous function, two new operators U n(f;x) and n(f;x) are constructed,based on x (n) k=2k+12n+1 π (k=0,1,…,2n) as the interpolation nodes and the best convergence order of them are better than A n(f;x),B n(f;x),C n(f;x).
Key concepts: Interpolation (computer graphics), Lagrange polynomial, Polynomial interpolation, Mathematics, Convergence (economics), Polynomial, Linear interpolation, Order (exchange)