A negative answer to problem 10 of P. Turan

被引：0

作者：

Shi, YG

机构：

来源：

SCIENCE IN CHINA SERIES A-MATHEMATICS PHYSICS ASTRONOMY | 1996年 / 39卷 / 10期

关键词：

mean convergence; Lagrange's interpolation; weight functions;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A weight w(x) is provided with the properties: w(x)greater than or equal to(1-X(2))(-1/2) and Lagrange's interpolation based on the zeros of orthogonal polynomials with respect to w diverges in L(p) (p>6) for some f epsilon C[-1, 1]. This gives a negative answer to Problem 10 of P. Turan.

引用

页码：1054 / 1057

页数：4

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