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- W2034387601 abstract "Optimal numerical approximation of bounded linear functionals by weighted sums in Hilbert spaces of functions analytic in a circleK r , in a circular annulusK r1,r2 and in an ellipseE r is investigated by Davis' method on the common algebraic background for diagonalising the normal equation matrix. The weights and error functional norms for optimal rules with nodes located angle-equidistant on the concentric circle∂K s or on the confocal ellipseϖE s and in the interval [−1,1] for an arbitrary bounded linear functional are given explicitly. They are expressed in terms of a complete orthonormal system in the Hilbert space." @default.
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- W2034387601 date "1976-09-01" @default.
- W2034387601 modified "2023-09-27" @default.
- W2034387601 title "On the optimal approximation of bounded linear functionals in Hilbert spaces of analytic functions" @default.
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- W2034387601 doi "https://doi.org/10.1007/bf01932272" @default.
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