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- W2116469503 abstract "We present a simple numerical method for constructing the optimal (generalized) averaged Gaussian quadrature formulas which are the optimal stratified extensions of Gauss quadrature formulas. These extensions exist in many cases in which real positive Kronrod formulas do not exist. For the Jacobi weight functions $w(x)equiv w^{(alpha ,beta )}(x)=(1-x)^alpha (1+x)^beta$ ($alpha ,beta >-1$) we give a necessary and sufficient condition on the parameters $alpha$ and $beta$ such that the optimal averaged Gaussian quadrature formulas are internal." @default.
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- W2116469503 date "2007-03-08" @default.
- W2116469503 modified "2023-10-02" @default.
- W2116469503 title "On generalized averaged Gaussian formulas" @default.
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- W2116469503 doi "https://doi.org/10.1090/s0025-5718-07-01975-8" @default.
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