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A note on quadrature formulas for the Chebyshev weight function of the first kind

✍ Scribed by F. Pérez-Acosta; P. González-Vera

Publisher
Elsevier Science
Year
1994
Tongue
English
Weight
231 KB
Volume
7
Category
Article
ISSN
0893-9659

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✍ Guang Shi Ying 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 107 KB

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).