On weighted 𝐿^{𝑝}-convergence of certain Lagrange interpolation

Min, Guo Hua

doi:10.1090/S0002-9939-1992-1101990-X

On weighted $L^ p$-convergence of certain Lagrange interpolation
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Proc. Amer. Math. Soc. 116 (1992), 1081-1087 Request permission

Abstract:

The weighted ${L^p}$-convergence of Lagrange interpolation based on the zeros of $(1 - {x^2}){T_n}(x){T’_n}(x)$ (where ${T_n}(x)$ is the Tchebycheff polynomial of the first kind) is considered. The corresponding result of A. Bellen (J. Approx. Theory 33 (1981), 85-95) is improved and perfected.

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