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《Journal of Qufu Normal University(Natural Science)》 1991-01
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Order of Approximation in the Mean by Generalized Lagrange Interpolating Polynomials in Jordam Domain

Shen Xiechang  
The generalized Lagrange interpolating polynomials for f(Z)∈E(D), P1 at the Fejer interpolation points are studied.Under certain mild condition on the smoothness of the boundry curve we give the order of appcoximation in themean as wi (f,1/n)_p—the modulus of continuity of f(z) in L~P(Γ) norm. It isexplained that it is impossible for the Lagrange interpolating polynomials.
【Fund】: 国家教委基金;; 国家自然科学基金
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6 Wen Ming;The interpolation by analytic functions in simply connected region[J];Journal of Mathematical Research and Exposition;1990-03
7 Shen Xiechang Shuai Binpeng (Peking University);ORDER OF APPOXIMATION BY LAGRANGE INTERPOLATING POLYNOMIALS AT NEARLY ROOTS OF UNITY[J];Journal of Mathematics;1991-03
8 Shen Xiechang Shuai Binpeng (Beijing Univesity);ORDER OF APPROXIMATION BY LAGRANGE INTERPOLATING POLYNOMIALS AT NEARLY FEJER POINTS[J];Journal of Mathematics;1992-01
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