Theory and use of functionals on the class of nonnegative polynomials and quadrature formulae (Q1368512)
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scientific article; zbMATH DE number 1067214
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Theory and use of functionals on the class of nonnegative polynomials and quadrature formulae |
scientific article; zbMATH DE number 1067214 |
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Theory and use of functionals on the class of nonnegative polynomials and quadrature formulae (English)
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28 September 1997
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A functional of special type on classes of nonnegative polynomials is studied, which is helpful for the investigation of packings and cubature formulae. This functional in the classical case plays a very important role in analysis. The corresponding extremal problem is solved with the help of Legendre and Jacobi polynomials. Also, a new set of Gaussian quadrature formulae is obtained and used for two-dimensional integrals with circular symmetry.
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cubature formulae
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extremal problem
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