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Chebyshev series method for computing weighted quadrature formulas

✍ Scribed by E. Berriochoa Esnaola; A. Cachafeiro López; J.R. Illán-González; E. Martínez-Brey

Book ID
113439895
Publisher
Elsevier Science
Year
2011
Tongue
English
Weight
251 KB
Volume
218
Category
Article
ISSN
0096-3003

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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).