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.
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页码：1054 / 1057
页数：4
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