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- W2090939306 abstract "In this paper we are concerned with the estimation of integrals on the unit circle of the form ∫02π f(eiθ)ω(θ)dθ by means of the so-called Szego quadrature formulas, i.e., formulas of the type Σj=1n λjf(xj) with distinct nodes on the unit circle, exactly integrating Laurent polynomials in subspaces of dimension as high as possible. When considering certain weight functions ω(θ) related to the Jacobi functions for the interval [-1, 1], nodes {xj}j=1n and weights {λj}j=1n in Szego quadrature formulas are explicitly deduced. Illustrative numerical examples are also given." @default.
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- W2090939306 date "2001-10-04" @default.
- W2090939306 modified "2023-10-18" @default.
- W2090939306 title "Szegö quadrature formulas for certain Jacobi-type weight functions" @default.
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- W2090939306 doi "https://doi.org/10.1090/s0025-5718-01-01337-0" @default.
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