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On optimization of weight quadrature formulas

โœ Scribed by V. F. Babenko

Book ID
112471717
Publisher
Springer
Year
1995
Tongue
English
Weight
514 KB
Volume
47
Category
Article
ISSN
0041-5995

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As we know, the Chebyshev weight w(x)=(1&x 2 ) &1ร‚2 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).