Two Point Gauss–legendre Quadrature Rule for Riemann–stieltjes Integrals

نویسندگان

  • MOHAMMAD W. ALOMARI
  • M. W. ALOMARI
چکیده

In order to approximate the Riemann–Stieltjes integral ∫ b a f (t) dg (t) by 2–point Gaussian quadrature rule, we introduce the quadrature rule ∫ 1 −1 f (t) dg (t) ≈ Af ( − √ 3 3 ) + Bf (√ 3 3 ) , for suitable choice of A and B. Error estimates for this approximation under various assumptions for the functions involved are provided as well.

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تاریخ انتشار 2013