Converging Factors for Some Asymptotic Moment Series That Arise in Numerical Quadrature
نویسندگان
چکیده
In this work the asymptotic behavior of the partial sums of the divergent asymptotic moment series 2% \ MiA'> where \i.l are the moments of the weight functions w{x) = x"e~ , a > 1 , and w(x) = x"Em(x), a > 1 , m + a > 0, on the interval [0, oo), is analyzed. Expressions for the converging factors are derived. These converging factors form the basis of some very accurate numerical quadrature formulas derived by the author for the infinite range integrals / " w(x)f(x) dx with w(x) as given above.
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