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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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【References】
Chinese Journal Full-text Database 2 Hits
1 SHEN Xiechang (Department of Mathematics, Peking University);Order of Approximation in the Mean by Interpolatory Operators at Nearly Fejer Nodes Using Average Modulas of Continuity[J];Acta Scicentiarum Naturalum Universitis Pekinesis;1992-05
2 Tian Jishan(President office of Henan University);The Extentions and Applications of Marcinkiewicz-Zygmund Inequality[J];JOURNAL OF HENAN UNIVERSITY (NATURAL SCIENCE);1994-01
【Co-references】
Chinese Journal Full-text Database 8 Hits
1 SHEN Xiechang (Department of Mathematics);On the Inequality of Polynomials and Interpolation in a Jordan Domain[J];Acta Scicentiarum Naturalum Universitis Pekinesis;1990-01
2 SHEN Xiechang ZHONG Lefan (Department of Mathematics, Peking University);Order of Approximation by Quasi-Interpolating Polynomials to Riemann Integrable Functions On the Boundary of a Domain[J];Acta Scicentiarum Naturalum Universitis Pekinesis;1992-03
3 Shen Xiechang(Peking University) Wang Hongfei Zhu Changqing(Zhengzhou Surveing and Mapping Institute);The Order of Approximation by(0,1,…,q) Hermite-Fejer Interpolation Polynomials at Nearly Fejer's Points[J];Chinese Quarterly Journal of Mathematics;1992-01
4 Shen Xiechang Tu Tianliang(Peking University) (Yellow-River University);Complex Interpolatory Approximation[J];Advances In Mathematics;1991-02
5 王子玉,沈燮昌;THE LIM1T CYCLES OF SECOND AUTOCATALYTIC SYSTEM[J];Chinese Annals of Mathematics,series A;1994-04
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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