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A negative answer to Problem 10 of P. Turan

     

摘要

A weight w(x) is provided with the properties: w(x)(1-x2) l/2 and Lagrange’s interpolation based on the zeros of orthogonal polynomials with respect to w diverges in Lp (p6) for some [-1, 1], This gives a negative answer to Problem 10 of P. Turan.

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