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Optimal quadrature formulae on the real line

โœ Scribed by Dimiter P Dryanov


Publisher
Elsevier Science
Year
1992
Tongue
English
Weight
330 KB
Volume
165
Category
Article
ISSN
0022-247X

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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).