A NEGATIVE ANSWER TO PROBLEM-10 OF TURAN,P

Authors
SHI YG
Citation
Yg. Shi, A NEGATIVE ANSWER TO PROBLEM-10 OF TURAN,P, Science in China. Series A, Mathematics, Physics, Astronomy & Technological Sciences, 39(10), 1996, pp. 1054-1057
Citations number
5
Categorie Soggetti
Multidisciplinary Sciences
Journal title
Science in China. Series A, Mathematics, Physics, Astronomy & Technological Sciences → ACNP
ISSN journal
10016511
Volume
39
Issue
10
Year of publication
1996
Pages
1054 - 1057
Database
ISI
SICI code
1001-6511(1996)39:10<1054:ANATPO>2.0.ZU;2-X
Abstract
A weight w(x) is provided with the properties: w(x)greater than or equ al 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 s ome f epsilon C[-1, 1]. This gives a negative answer to Problem 10 of P. Turan.