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On Turán Quadrature Formulas for the Chebyshev Weight

✍ Scribed by Guang Shi Ying

Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
107 KB
Volume
96
Category
Article
ISSN
0021-9045

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✦ Synopsis

As we know, the Chebyshev weight w(x)=(1&x 2 ) &1Â2 has the property: For each fixed n, the solutions of the extremal problem

dx for every even m are the same. This paper proves that the Chebyshev weight is the only weight having this property (up to a linear transformation).

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