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 language | English |
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Pages (from-to) | 237-246 |
Number of pages | 10 |
Journal | Applied Mathematics and Computation |
Volume | 249 |
DOIs | |
Publication status | Published - 15 Dec 2014 |
Externally published | Yes |
Keywords
- Integral inequalities
- Quadrature rule
- Riemann-Stieltjes integral
ASJC Scopus subject areas
- Computational Mathematics
- Applied Mathematics