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• W2060198886 abstract "In this paper, we present asymptotic analysis on the coefficients of functions expanded in forms of Laguerre or Hermite polynomial series, which shows the decay of the coefficients and derives new error bounds on the truncated series. Moreover, by applying the asymptotics, new estimates on the errors for Gauss–Laguerre, Radau–Laguerre and Gauss–Hermite quadrature are deduced. These results show that Gauss–Laguerre-type and Gauss-Hermite-type quadratures are nearly of same convergence rates." @default.
• W2060198886 created "2016-06-24" @default.
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• W2060198886 date "2012-09-01" @default.
• W2060198886 modified "2023-10-14" @default.
• W2060198886 title "Asymptotics on Laguerre or Hermite polynomial expansions and their applications in Gauss quadrature" @default.
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• W2060198886 doi "https://doi.org/10.1016/j.jmaa.2012.03.056" @default.
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