H. V. Smith's scientific contributions

Publication (1)

Article
The object of this paper is to derive global error bounds for integrals of the form ò - 11 (1 - x2 )l f(x)dx,l > - 1,\int_{ - 1}^1 {(1 - x^2 )^\lambda f(x)dx,\lambda > - 1,} which have been approximated by Gauss-Gegenbauer quadrature.

Citations

... . If (C) denotes the lenght of the contour C, an estimate of the error R n in (2.2.1) can be given by (see, for example, Refs. [4], [12] & [28]) ...