Error bounds in approximating the Riemann-Stieltjes integral of Cn+1-class integrands and nonsmooth integrators

S. S. Dragomir, Charis Harley, E. Momoniat

Research output: Contribution to journalArticlepeer-review

2 Citations (Scopus)

Abstract

In the present paper we investigate the problem of approximating the Riemann-Stieltjes integral ∫ab f(λ) du(λ) in the case when the integrand f is (n + 1)-time differentiable (n ≥ 0) and the derivative f(n+1) is continuous on [a, b], while the integrator u is Riemann integrable on a, b]. A priory error bounds for different classes of functions are provided.

Original languageEnglish
Pages (from-to)237-246
Number of pages10
JournalApplied Mathematics and Computation
Volume249
DOIs
Publication statusPublished - 15 Dec 2014
Externally publishedYes

Keywords

  • Integral inequalities
  • Quadrature rule
  • Riemann-Stieltjes integral

ASJC Scopus subject areas

  • Computational Mathematics
  • Applied Mathematics

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