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A negative answer to problem 10 of P. Turan
Shi, YG
1996-10-01
Source PublicationSCIENCE IN CHINA SERIES A-MATHEMATICS PHYSICS ASTRONOMY
ISSN1006-9283
Volume39Issue:10Pages:1054-1057
AbstractA 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.
Keywordmean convergence Lagrange's interpolation weight functions
Language英语
WOS Research AreaMathematics
WOS SubjectMathematics, Applied ; Mathematics
WOS IDWOS:A1996WA87400005
PublisherSCIENCE CHINA PRESS
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Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/28800
Collection中国科学院数学与系统科学研究院
AffiliationCHINESE ACAD SCI,INST COMPUTAT MATH & SCI ENGN COMP,BEIJING 100080,PEOPLES R CHINA
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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.
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