A negative answer to problem 10 of P. Turan

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	A negative answer to problem 10 of P. Turan
	Shi, YG
	1996-10-01
发表期刊	SCIENCE IN CHINA SERIES A-MATHEMATICS PHYSICS ASTRONOMY
ISSN	1006-9283
卷号	39 期号:10 页码:1054-1057
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.
关键词	mean convergence Lagrange's interpolation weight functions
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:A1996WA87400005
出版者	SCIENCE CHINA PRESS
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/28800
专题	中国科学院数学与系统科学研究院
通讯作者	Shi, YG
作者单位	CHINESE ACAD SCI,INST COMPUTAT MATH & SCI ENGN COMP,BEIJING 100080,PEOPLES R CHINA
推荐引用方式 GB/T 7714	Shi, YG. A negative answer to problem 10 of P. Turan[J]. SCIENCE IN CHINA SERIES A-MATHEMATICS PHYSICS ASTRONOMY,1996,39(10):1054-1057.
APA	Shi, YG.(1996).A negative answer to problem 10 of P. Turan.SCIENCE IN CHINA SERIES A-MATHEMATICS PHYSICS ASTRONOMY,39(10),1054-1057.
MLA	Shi, YG."A negative answer to problem 10 of P. Turan".SCIENCE IN CHINA SERIES A-MATHEMATICS PHYSICS ASTRONOMY 39.10(1996):1054-1057.